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Finding the Fourth Proportional to 16,601.84, 22,910.54 and 9,149.84

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Solution

The fourth proportional to 16,601.84, 22,910.54 and 9,149.84 is: 12,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,601.84 : 22,910.54 = 9,149.84 : x
  2. Step 2: Convert to fraction form
    16,601.84/22,910.54 = 9,149.84/x
  3. Step 3: Cross multiply
    16,601.84x = 22,910.54 × 9,149.84
  4. Step 4: Simplify right side
    16,601.84x = 209,627,700.93
  5. Step 5: Solve for x
    x = 209,627,700.93/16,601.84
  6. Step 6: Final answer
    x = 12,626.78

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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.