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Finding the Fourth Proportional to 7,901.73, 10,902.69 and 4,714.17

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Solution

The fourth proportional to 7,901.73, 10,902.69 and 4,714.17 is: 6,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.73 : 10,902.69 = 4,714.17 : x
  2. Step 2: Convert to fraction form
    7,901.73/10,902.69 = 4,714.17/x
  3. Step 3: Cross multiply
    7,901.73x = 10,902.69 × 4,714.17
  4. Step 4: Simplify right side
    7,901.73x = 51,397,134.12
  5. Step 5: Solve for x
    x = 51,397,134.12/7,901.73
  6. Step 6: Final answer
    x = 6,504.54

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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.