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Finding the Fourth Proportional to 22,633.92, 33,942.78 and 7,838.91

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Solution

The fourth proportional to 22,633.92, 33,942.78 and 7,838.91 is: 11,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.92 : 33,942.78 = 7,838.91 : x
  2. Step 2: Convert to fraction form
    22,633.92/33,942.78 = 7,838.91/x
  3. Step 3: Cross multiply
    22,633.92x = 33,942.78 × 7,838.91
  4. Step 4: Simplify right side
    22,633.92x = 266,074,397.57
  5. Step 5: Solve for x
    x = 266,074,397.57/22,633.92
  6. Step 6: Final answer
    x = 11,755.56

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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.