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Finding the Fourth Proportional to 6,311.50, 9,469.94 and 2,616.42

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Solution

The fourth proportional to 6,311.50, 9,469.94 and 2,616.42 is: 3,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.50 : 9,469.94 = 2,616.42 : x
  2. Step 2: Convert to fraction form
    6,311.50/9,469.94 = 2,616.42/x
  3. Step 3: Cross multiply
    6,311.50x = 9,469.94 × 2,616.42
  4. Step 4: Simplify right side
    6,311.50x = 24,777,340.41
  5. Step 5: Solve for x
    x = 24,777,340.41/6,311.50
  6. Step 6: Final answer
    x = 3,925.75

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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.