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Finding the Fourth Proportional to 16,601, 22,909.62 and 9,149

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Solution

The fourth proportional to 16,601, 22,909.62 and 9,149 is: 12,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,601 : 22,909.62 = 9,149 : x
  2. Step 2: Convert to fraction form
    16,601/22,909.62 = 9,149/x
  3. Step 3: Cross multiply
    16,601x = 22,909.62 × 9,149
  4. Step 4: Simplify right side
    16,601x = 209,600,113.38
  5. Step 5: Solve for x
    x = 209,600,113.38/16,601
  6. Step 6: Final answer
    x = 12,625.75

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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.