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Finding the Fourth Proportional to 6,067.98, 9,104.81 and 3,144.69

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Solution

The fourth proportional to 6,067.98, 9,104.81 and 3,144.69 is: 4,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.98 : 9,104.81 = 3,144.69 : x
  2. Step 2: Convert to fraction form
    6,067.98/9,104.81 = 3,144.69/x
  3. Step 3: Cross multiply
    6,067.98x = 9,104.81 × 3,144.69
  4. Step 4: Simplify right side
    6,067.98x = 28,631,789.24
  5. Step 5: Solve for x
    x = 28,631,789.24/6,067.98
  6. Step 6: Final answer
    x = 4,718.50

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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.