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Finding the Fourth Proportional to 9,874.97, 13,614.14 and 6,332.03

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Solution

The fourth proportional to 9,874.97, 13,614.14 and 6,332.03 is: 8,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.97 : 13,614.14 = 6,332.03 : x
  2. Step 2: Convert to fraction form
    9,874.97/13,614.14 = 6,332.03/x
  3. Step 3: Cross multiply
    9,874.97x = 13,614.14 × 6,332.03
  4. Step 4: Simplify right side
    9,874.97x = 86,205,142.90
  5. Step 5: Solve for x
    x = 86,205,142.90/9,874.97
  6. Step 6: Final answer
    x = 8,729.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.