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Finding the Fourth Proportional to 6,314.67, 9,472 and 2,615.91

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Solution

The fourth proportional to 6,314.67, 9,472 and 2,615.91 is: 3,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.67 : 9,472 = 2,615.91 : x
  2. Step 2: Convert to fraction form
    6,314.67/9,472 = 2,615.91/x
  3. Step 3: Cross multiply
    6,314.67x = 9,472 × 2,615.91
  4. Step 4: Simplify right side
    6,314.67x = 24,777,899.52
  5. Step 5: Solve for x
    x = 24,777,899.52/6,314.67
  6. Step 6: Final answer
    x = 3,923.86

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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.