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Finding the Fourth Proportional to 6,338.20, 9,499.20 and 3,044.20

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Solution

The fourth proportional to 6,338.20, 9,499.20 and 3,044.20 is: 4,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.20 : 9,499.20 = 3,044.20 : x
  2. Step 2: Convert to fraction form
    6,338.20/9,499.20 = 3,044.20/x
  3. Step 3: Cross multiply
    6,338.20x = 9,499.20 × 3,044.20
  4. Step 4: Simplify right side
    6,338.20x = 28,917,464.64
  5. Step 5: Solve for x
    x = 28,917,464.64/6,338.20
  6. Step 6: Final answer
    x = 4,562.41

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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.