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Finding the Fourth Proportional to 6,702.12, 9,249.20 and 4,049

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Solution

The fourth proportional to 6,702.12, 9,249.20 and 4,049 is: 5,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.12 : 9,249.20 = 4,049 : x
  2. Step 2: Convert to fraction form
    6,702.12/9,249.20 = 4,049/x
  3. Step 3: Cross multiply
    6,702.12x = 9,249.20 × 4,049
  4. Step 4: Simplify right side
    6,702.12x = 37,450,010.80
  5. Step 5: Solve for x
    x = 37,450,010.80/6,702.12
  6. Step 6: Final answer
    x = 5,587.79

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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.