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

Answer:

The answer to your question is 60.7 km

Step-by-step 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.

                                  $\frac{3}{26} = \frac{7}{x}$

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

                                 x = $\frac{26 x 7}{3}$

                                 x = $\frac{182}{3}$

                                 x = 60.7 km