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Finding the Fourth Proportional to 6,451.86, 9,664.82 and 3,367.38

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Solution

The fourth proportional to 6,451.86, 9,664.82 and 3,367.38 is: 5,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.86 : 9,664.82 = 3,367.38 : x
  2. Step 2: Convert to fraction form
    6,451.86/9,664.82 = 3,367.38/x
  3. Step 3: Cross multiply
    6,451.86x = 9,664.82 × 3,367.38
  4. Step 4: Simplify right side
    6,451.86x = 32,545,121.57
  5. Step 5: Solve for x
    x = 32,545,121.57/6,451.86
  6. Step 6: Final answer
    x = 5,044.30

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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.