ANSWER:
23 miles: 20 inches
STEP-BY-STEP EXPLANATION:
We know that the actual distance is 4.6 miles and the distance on the map is 4 inches, we must make them whole numbers, for that we multiply both by 5, just like this:
[tex]\begin{gathered} 4.6\cdot5=23\text{ miles} \\ 4\cdot5=20\text{ inches} \end{gathered}[/tex]Therefore, the scale on the map would be 20 inches representing 23 miles as the actual distance.