Finding the Fourth Proportional to 20,475, 30,712.50 and 5,883
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Solution
The fourth proportional to 20,475, 30,712.50 and 5,883 is: 8,824.50
Step by Step Solution
- Step 1: Write the proportion equation
20,475 : 30,712.50 = 5,883 : x - Step 2: Convert to fraction form
20,475/30,712.50 = 5,883/x - Step 3: Cross multiply
20,475x = 30,712.50 × 5,883 - Step 4: Simplify right side
20,475x = 180,681,637.50 - Step 5: Solve for x
x = 180,681,637.50/20,475 - Step 6: Final answer
x = 8,824.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.