Question

On a world map, the distance between city A and city B is 10.125 inches. The two cities are actually 3038 miles apart. On the same map, what would be the distance between city C and city D, two cities that are actually 3445 miles apart? Use a proportion to solve this problem.On the map, the distance between city C and city D is _____ inches.(Round to three decimal places as needed.)

Answer 1

We will use the proportional method to solve the question

Since the distance on the map of actual distance 3038 miles is 10.125 inches

Since we need to find the distance on the map of the actual distance of 3445 miles

Then by using the proportional method

`(10.125)/(x)=(3038)/(3445)`

By using the cross-multiplication

`\begin{gathered} x*3038=10.125*3445 \\ \\ 3038x=34880.625 \end{gathered}`

Divide both sides by 3038

`\begin{gathered} (3038x)/(3038)=(34880.625)/(3038) \\ \\ x=11.481\text{ inches} \end{gathered}`

On the map, the distance between city C and city D is 11.481 inches