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Finding the Fourth Proportional to 10,057.80, 15,027.17 and 9,713.28

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Solution

The fourth proportional to 10,057.80, 15,027.17 and 9,713.28 is: 14,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.80 : 15,027.17 = 9,713.28 : x
  2. Step 2: Convert to fraction form
    10,057.80/15,027.17 = 9,713.28/x
  3. Step 3: Cross multiply
    10,057.80x = 15,027.17 × 9,713.28
  4. Step 4: Simplify right side
    10,057.80x = 145,963,061.25
  5. Step 5: Solve for x
    x = 145,963,061.25/10,057.80
  6. Step 6: Final answer
    x = 14,512.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.