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Finding the Fourth Proportional to 6,134.92, 9,202.38 and 1,517.92

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Solution

The fourth proportional to 6,134.92, 9,202.38 and 1,517.92 is: 2,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.92 : 9,202.38 = 1,517.92 : x
  2. Step 2: Convert to fraction form
    6,134.92/9,202.38 = 1,517.92/x
  3. Step 3: Cross multiply
    6,134.92x = 9,202.38 × 1,517.92
  4. Step 4: Simplify right side
    6,134.92x = 13,968,476.65
  5. Step 5: Solve for x
    x = 13,968,476.65/6,134.92
  6. Step 6: Final answer
    x = 2,276.88

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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.