What is the solution of each proportion?
3/7 = m/56
To solve for the variable, we can cross-multiply:
3(56) = 7m
168 = 7m
Divide both sides by 7:
m = 24
Therefore, the solution for the proportion 3/7 = m/56 is m = 24.
To solve the proportion 3/7 = m/56, we can use the concept of cross-multiplication. Here is the step-by-step solution:
Step 1: Cross-multiply the fractions.
3 x 56 = 7 x m
Step 2: Simplify both sides of the equation.
168 = 7m
Step 3: Divide both sides of the equation by 7 to isolate the variable m.
168/7 = 7m/7
24 = m
Therefore, the solution to the proportion 3/7 = m/56 is m = 24.