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Finding the Fourth Proportional to 16,569.22, 22,864.84 and 9,494.28

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Solution

The fourth proportional to 16,569.22, 22,864.84 and 9,494.28 is: 13,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.22 : 22,864.84 = 9,494.28 : x
  2. Step 2: Convert to fraction form
    16,569.22/22,864.84 = 9,494.28/x
  3. Step 3: Cross multiply
    16,569.22x = 22,864.84 × 9,494.28
  4. Step 4: Simplify right side
    16,569.22x = 217,085,193.12
  5. Step 5: Solve for x
    x = 217,085,193.12/16,569.22
  6. Step 6: Final answer
    x = 13,101.71

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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.