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Finding the Fourth Proportional to 12,498, 17,247.24 and 6,909.52

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Solution

The fourth proportional to 12,498, 17,247.24 and 6,909.52 is: 9,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498 : 17,247.24 = 6,909.52 : x
  2. Step 2: Convert to fraction form
    12,498/17,247.24 = 6,909.52/x
  3. Step 3: Cross multiply
    12,498x = 17,247.24 × 6,909.52
  4. Step 4: Simplify right side
    12,498x = 119,170,149.72
  5. Step 5: Solve for x
    x = 119,170,149.72/12,498
  6. Step 6: Final answer
    x = 9,535.14

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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.