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Finding the Fourth Proportional to 6,675.76, 9,213.22 and 3,691.82

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Solution

The fourth proportional to 6,675.76, 9,213.22 and 3,691.82 is: 5,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.76 : 9,213.22 = 3,691.82 : x
  2. Step 2: Convert to fraction form
    6,675.76/9,213.22 = 3,691.82/x
  3. Step 3: Cross multiply
    6,675.76x = 9,213.22 × 3,691.82
  4. Step 4: Simplify right side
    6,675.76x = 34,013,549.86
  5. Step 5: Solve for x
    x = 34,013,549.86/6,675.76
  6. Step 6: Final answer
    x = 5,095.08

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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.