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Finding the Fourth Proportional to 7,046.78, 9,724.14 and 3,902.78

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Solution

The fourth proportional to 7,046.78, 9,724.14 and 3,902.78 is: 5,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.78 : 9,724.14 = 3,902.78 : x
  2. Step 2: Convert to fraction form
    7,046.78/9,724.14 = 3,902.78/x
  3. Step 3: Cross multiply
    7,046.78x = 9,724.14 × 3,902.78
  4. Step 4: Simplify right side
    7,046.78x = 37,951,179.11
  5. Step 5: Solve for x
    x = 37,951,179.11/7,046.78
  6. Step 6: Final answer
    x = 5,385.61

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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.