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Finding the Fourth Proportional to 6,654.26, 9,974.36 and 2,491.54

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Solution

The fourth proportional to 6,654.26, 9,974.36 and 2,491.54 is: 3,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.26 : 9,974.36 = 2,491.54 : x
  2. Step 2: Convert to fraction form
    6,654.26/9,974.36 = 2,491.54/x
  3. Step 3: Cross multiply
    6,654.26x = 9,974.36 × 2,491.54
  4. Step 4: Simplify right side
    6,654.26x = 24,851,516.91
  5. Step 5: Solve for x
    x = 24,851,516.91/6,654.26
  6. Step 6: Final answer
    x = 3,734.68

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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.