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Finding the Fourth Proportional to 10,498.07, 15,747.14 and 7,201.17

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Solution

The fourth proportional to 10,498.07, 15,747.14 and 7,201.17 is: 10,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.07 : 15,747.14 = 7,201.17 : x
  2. Step 2: Convert to fraction form
    10,498.07/15,747.14 = 7,201.17/x
  3. Step 3: Cross multiply
    10,498.07x = 15,747.14 × 7,201.17
  4. Step 4: Simplify right side
    10,498.07x = 113,397,850.16
  5. Step 5: Solve for x
    x = 113,397,850.16/10,498.07
  6. Step 6: Final answer
    x = 10,801.78

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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.