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Finding the Fourth Proportional to 6,347.64, 9,523.30 and 2,647.96

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Solution

The fourth proportional to 6,347.64, 9,523.30 and 2,647.96 is: 3,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.64 : 9,523.30 = 2,647.96 : x
  2. Step 2: Convert to fraction form
    6,347.64/9,523.30 = 2,647.96/x
  3. Step 3: Cross multiply
    6,347.64x = 9,523.30 × 2,647.96
  4. Step 4: Simplify right side
    6,347.64x = 25,217,317.47
  5. Step 5: Solve for x
    x = 25,217,317.47/6,347.64
  6. Step 6: Final answer
    x = 3,972.71

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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.