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Finding the Fourth Proportional to 6,654.14, 9,984.26 and 2,494.47

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Solution

The fourth proportional to 6,654.14, 9,984.26 and 2,494.47 is: 3,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.14 : 9,984.26 = 2,494.47 : x
  2. Step 2: Convert to fraction form
    6,654.14/9,984.26 = 2,494.47/x
  3. Step 3: Cross multiply
    6,654.14x = 9,984.26 × 2,494.47
  4. Step 4: Simplify right side
    6,654.14x = 24,905,437.04
  5. Step 5: Solve for x
    x = 24,905,437.04/6,654.14
  6. Step 6: Final answer
    x = 3,742.85

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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.