Final answer:
By creating a proportion based on the relationship that 12 inches equals 1 foot, we determined that 2 inches is to 6 feet as 6 inches is to 18 feet.
Step-by-step explanation:
The student's question involves setting up and solving a proportion in order to find the equivalent number of inches for 18 feet, based on the provided ratio of inches to feet. To solve this problem, we will first establish the relationship between inches and feet then set up a proportion using that relationship.
There are 12 inches in one foot, which is a standard unit of measurement in the customary system. Therefore, to find out how many inches there are in 6 feet, we multiply 6 by 12, which equals 72 inches.
Now, we can use this information to create a proportion:
2 inches is to 6 feet as x inches is to 18 feet.
Setting the proportion gives us:
2/72 = x/216
When we cross-multiply and solve for x, we get:
2 * 216 = 72 * x
432 = 72x
Divide both sides by 72 to find x:
x = 432 / 72
x = 6
Therefore, 2 inches is to 6 feet as 6 inches is to 18 feet.