The distance between City A and City B is 500 miles. A length of 1.5 feet represents this distance on a certain wall map. City C and City D are 2.1 feet apart on this map. What is the actual distance between City C and City​ D?

500 / 1.5 = ? / 2.1

To find the actual distance between City C and City D, we can set up a proportion using the given information.

Let's define the variables:
- Distance between City A and City B: x (in miles)
- Length on the wall map representing the distance between City A and City B: 1.5 feet
- Length on the wall map representing the distance between City C and City D: 2.1 feet

We can set up the proportion:

1.5 feet / x miles = 2.1 feet / y miles

To find y (the actual distance between City C and City D), we cross-multiply and solve for y:

1.5 feet * y miles = 2.1 feet * x miles

y = (2.1 feet * x miles) / 1.5 feet

Now, substitute the known values:
x = 500 miles (distance between City A and City B)

y = (2.1 feet * 500 miles) / 1.5 feet

Calculating the actual distance between City C and City D:

y = (2.1 * 500) / 1.5
y = 700 / 1.5
y = 466.67 miles

Therefore, the actual distance between City C and City D is approximately 466.67 miles.

To find the actual distance between City C and City D, we can set up a proportion based on the information given.

Let x be the actual distance between City C and City D in miles.

According to the given information, 1.5 feet on the map represents 500 miles. Therefore, we can set up a proportion as follows:

1.5 feet / 500 miles = 2.1 feet / x miles

To solve this proportion, we can cross multiply:

1.5 feet * x miles = 2.1 feet * 500 miles

Rearranging the equation, we have:

x miles = (2.1 feet * 500 miles) / 1.5 feet

Simplifying the expression, we get:

x miles = 3500 miles / 1.5 feet

To calculate this, we divide 3500 miles by 1.5 feet:

x miles = 2333.33 miles

Therefore, the actual distance between City C and City D is approximately 2333.33 miles.