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Finding the Fourth Proportional to 6,044.50, 9,067.56 and 2,582.56

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Solution

The fourth proportional to 6,044.50, 9,067.56 and 2,582.56 is: 3,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.50 : 9,067.56 = 2,582.56 : x
  2. Step 2: Convert to fraction form
    6,044.50/9,067.56 = 2,582.56/x
  3. Step 3: Cross multiply
    6,044.50x = 9,067.56 × 2,582.56
  4. Step 4: Simplify right side
    6,044.50x = 23,417,517.75
  5. Step 5: Solve for x
    x = 23,417,517.75/6,044.50
  6. Step 6: Final answer
    x = 3,874.19

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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.