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Finding the Fourth Proportional to 16,638.60, 22,965.12 and 9,569.10

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Solution

The fourth proportional to 16,638.60, 22,965.12 and 9,569.10 is: 13,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.60 : 22,965.12 = 9,569.10 : x
  2. Step 2: Convert to fraction form
    16,638.60/22,965.12 = 9,569.10/x
  3. Step 3: Cross multiply
    16,638.60x = 22,965.12 × 9,569.10
  4. Step 4: Simplify right side
    16,638.60x = 219,755,529.79
  5. Step 5: Solve for x
    x = 219,755,529.79/16,638.60
  6. Step 6: Final answer
    x = 13,207.57

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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.