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Finding the Fourth Proportional to 6,651.76, 9,179.04 and 3,667

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Solution

The fourth proportional to 6,651.76, 9,179.04 and 3,667 is: 5,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.76 : 9,179.04 = 3,667 : x
  2. Step 2: Convert to fraction form
    6,651.76/9,179.04 = 3,667/x
  3. Step 3: Cross multiply
    6,651.76x = 9,179.04 × 3,667
  4. Step 4: Simplify right side
    6,651.76x = 33,659,539.68
  5. Step 5: Solve for x
    x = 33,659,539.68/6,651.76
  6. Step 6: Final answer
    x = 5,060.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.