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Finding the Fourth Proportional to 6,504.68, 8,976.48 and 3,672.17

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Solution

The fourth proportional to 6,504.68, 8,976.48 and 3,672.17 is: 5,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.68 : 8,976.48 = 3,672.17 : x
  2. Step 2: Convert to fraction form
    6,504.68/8,976.48 = 3,672.17/x
  3. Step 3: Cross multiply
    6,504.68x = 8,976.48 × 3,672.17
  4. Step 4: Simplify right side
    6,504.68x = 32,963,160.56
  5. Step 5: Solve for x
    x = 32,963,160.56/6,504.68
  6. Step 6: Final answer
    x = 5,067.61

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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.