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Finding the Fourth Proportional to 6,766, 10,149.06 and 2,662

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Solution

The fourth proportional to 6,766, 10,149.06 and 2,662 is: 3,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766 : 10,149.06 = 2,662 : x
  2. Step 2: Convert to fraction form
    6,766/10,149.06 = 2,662/x
  3. Step 3: Cross multiply
    6,766x = 10,149.06 × 2,662
  4. Step 4: Simplify right side
    6,766x = 27,016,797.72
  5. Step 5: Solve for x
    x = 27,016,797.72/6,766
  6. Step 6: Final answer
    x = 3,993.02

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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.