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Finding the Fourth Proportional to 6,641.88, 9,964.17 and 2,746.86

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Solution

The fourth proportional to 6,641.88, 9,964.17 and 2,746.86 is: 4,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.88 : 9,964.17 = 2,746.86 : x
  2. Step 2: Convert to fraction form
    6,641.88/9,964.17 = 2,746.86/x
  3. Step 3: Cross multiply
    6,641.88x = 9,964.17 × 2,746.86
  4. Step 4: Simplify right side
    6,641.88x = 27,370,180.01
  5. Step 5: Solve for x
    x = 27,370,180.01/6,641.88
  6. Step 6: Final answer
    x = 4,120.85

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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.