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Finding the Fourth Proportional to 6,952.87, 10,451.17 and 6,039.80

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Solution

The fourth proportional to 6,952.87, 10,451.17 and 6,039.80 is: 9,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.87 : 10,451.17 = 6,039.80 : x
  2. Step 2: Convert to fraction form
    6,952.87/10,451.17 = 6,039.80/x
  3. Step 3: Cross multiply
    6,952.87x = 10,451.17 × 6,039.80
  4. Step 4: Simplify right side
    6,952.87x = 63,122,924.31
  5. Step 5: Solve for x
    x = 63,122,924.31/6,952.87
  6. Step 6: Final answer
    x = 9,078.69

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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.