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Finding the Fourth Proportional to 22,524.57, 33,789.59 and 6,942.20

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Solution

The fourth proportional to 22,524.57, 33,789.59 and 6,942.20 is: 10,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.57 : 33,789.59 = 6,942.20 : x
  2. Step 2: Convert to fraction form
    22,524.57/33,789.59 = 6,942.20/x
  3. Step 3: Cross multiply
    22,524.57x = 33,789.59 × 6,942.20
  4. Step 4: Simplify right side
    22,524.57x = 234,573,888.04
  5. Step 5: Solve for x
    x = 234,573,888.04/22,524.57
  6. Step 6: Final answer
    x = 10,414.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.