Question

A map has a scale of 3 centimeters = 26 kilometers. If two cities are 7 centimeters apart on the map, what is the actual distance between the two cities? If necessary, round your answer to the nearest tenth of a kilometer.

Answer 1

The answer to your question is 60.7 km

Explanation:

This is a ratio and proportion problem, so let's write the proportion.

3 : 26 : : 7 : x

1.- Convert the expression to a fractional form.

`(3)/(26) = (7)/(x)`

2.- Solve the proportion, cross multiplying and back off.

x =
`(26 x 7)/(3)`

x =
`(182)/(3)`

x = 60.7 km