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Finding the Fourth Proportional to 22,502.43, 33,754.55 and 7,712.82

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Solution

The fourth proportional to 22,502.43, 33,754.55 and 7,712.82 is: 11,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.43 : 33,754.55 = 7,712.82 : x
  2. Step 2: Convert to fraction form
    22,502.43/33,754.55 = 7,712.82/x
  3. Step 3: Cross multiply
    22,502.43x = 33,754.55 × 7,712.82
  4. Step 4: Simplify right side
    22,502.43x = 260,342,729.77
  5. Step 5: Solve for x
    x = 260,342,729.77/22,502.43
  6. Step 6: Final answer
    x = 11,569.54

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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.