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Finding the Fourth Proportional to 23,791.34, 35,691.13 and 7,997.92

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Solution

The fourth proportional to 23,791.34, 35,691.13 and 7,997.92 is: 11,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.34 : 35,691.13 = 7,997.92 : x
  2. Step 2: Convert to fraction form
    23,791.34/35,691.13 = 7,997.92/x
  3. Step 3: Cross multiply
    23,791.34x = 35,691.13 × 7,997.92
  4. Step 4: Simplify right side
    23,791.34x = 285,454,723.22
  5. Step 5: Solve for x
    x = 285,454,723.22/23,791.34
  6. Step 6: Final answer
    x = 11,998.26

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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.