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Finding the Fourth Proportional to 6,732.72, 9,291.82 and 4,082

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Solution

The fourth proportional to 6,732.72, 9,291.82 and 4,082 is: 5,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.72 : 9,291.82 = 4,082 : x
  2. Step 2: Convert to fraction form
    6,732.72/9,291.82 = 4,082/x
  3. Step 3: Cross multiply
    6,732.72x = 9,291.82 × 4,082
  4. Step 4: Simplify right side
    6,732.72x = 37,929,209.24
  5. Step 5: Solve for x
    x = 37,929,209.24/6,732.72
  6. Step 6: Final answer
    x = 5,633.56

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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.