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Finding the Fourth Proportional to 6,049.63, 9,062.61 and 4,171.10

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Solution

The fourth proportional to 6,049.63, 9,062.61 and 4,171.10 is: 6,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.63 : 9,062.61 = 4,171.10 : x
  2. Step 2: Convert to fraction form
    6,049.63/9,062.61 = 4,171.10/x
  3. Step 3: Cross multiply
    6,049.63x = 9,062.61 × 4,171.10
  4. Step 4: Simplify right side
    6,049.63x = 37,801,052.57
  5. Step 5: Solve for x
    x = 37,801,052.57/6,049.63
  6. Step 6: Final answer
    x = 6,248.49

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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.