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Finding the Fourth Proportional to 6,687.96, 10,033.38 and 2,007.96

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Solution

The fourth proportional to 6,687.96, 10,033.38 and 2,007.96 is: 3,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.96 : 10,033.38 = 2,007.96 : x
  2. Step 2: Convert to fraction form
    6,687.96/10,033.38 = 2,007.96/x
  3. Step 3: Cross multiply
    6,687.96x = 10,033.38 × 2,007.96
  4. Step 4: Simplify right side
    6,687.96x = 20,146,625.70
  5. Step 5: Solve for x
    x = 20,146,625.70/6,687.96
  6. Step 6: Final answer
    x = 3,012.37

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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.