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Finding the Fourth Proportional to 16,301.44, 22,496 and 9,230.14

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Solution

The fourth proportional to 16,301.44, 22,496 and 9,230.14 is: 12,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.44 : 22,496 = 9,230.14 : x
  2. Step 2: Convert to fraction form
    16,301.44/22,496 = 9,230.14/x
  3. Step 3: Cross multiply
    16,301.44x = 22,496 × 9,230.14
  4. Step 4: Simplify right side
    16,301.44x = 207,641,229.44
  5. Step 5: Solve for x
    x = 207,641,229.44/16,301.44
  6. Step 6: Final answer
    x = 12,737.60

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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.