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Finding the Fourth Proportional to 6,049.32, 9,073.80 and 1,667.04

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Solution

The fourth proportional to 6,049.32, 9,073.80 and 1,667.04 is: 2,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.32 : 9,073.80 = 1,667.04 : x
  2. Step 2: Convert to fraction form
    6,049.32/9,073.80 = 1,667.04/x
  3. Step 3: Cross multiply
    6,049.32x = 9,073.80 × 1,667.04
  4. Step 4: Simplify right side
    6,049.32x = 15,126,387.55
  5. Step 5: Solve for x
    x = 15,126,387.55/6,049.32
  6. Step 6: Final answer
    x = 2,500.51

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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.