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Finding the Fourth Proportional to 6,046.68, 9,067.85 and 2,150.31

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Solution

The fourth proportional to 6,046.68, 9,067.85 and 2,150.31 is: 3,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.68 : 9,067.85 = 2,150.31 : x
  2. Step 2: Convert to fraction form
    6,046.68/9,067.85 = 2,150.31/x
  3. Step 3: Cross multiply
    6,046.68x = 9,067.85 × 2,150.31
  4. Step 4: Simplify right side
    6,046.68x = 19,498,648.57
  5. Step 5: Solve for x
    x = 19,498,648.57/6,046.68
  6. Step 6: Final answer
    x = 3,224.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.