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Finding the Fourth Proportional to 8,592.97, 11,857.24 and 5,234.56

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Solution

The fourth proportional to 8,592.97, 11,857.24 and 5,234.56 is: 7,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.97 : 11,857.24 = 5,234.56 : x
  2. Step 2: Convert to fraction form
    8,592.97/11,857.24 = 5,234.56/x
  3. Step 3: Cross multiply
    8,592.97x = 11,857.24 × 5,234.56
  4. Step 4: Simplify right side
    8,592.97x = 62,067,455.58
  5. Step 5: Solve for x
    x = 62,067,455.58/8,592.97
  6. Step 6: Final answer
    x = 7,223.05

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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.