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Finding the Fourth Proportional to 10,057.52, 15,069.20 and 6,542.16

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Solution

The fourth proportional to 10,057.52, 15,069.20 and 6,542.16 is: 9,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.52 : 15,069.20 = 6,542.16 : x
  2. Step 2: Convert to fraction form
    10,057.52/15,069.20 = 6,542.16/x
  3. Step 3: Cross multiply
    10,057.52x = 15,069.20 × 6,542.16
  4. Step 4: Simplify right side
    10,057.52x = 98,585,117.47
  5. Step 5: Solve for x
    x = 98,585,117.47/10,057.52
  6. Step 6: Final answer
    x = 9,802.13

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1.5x scale

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.