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Finding the Fourth Proportional to 6,951.62, 10,422.88 and 2,566.69

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Solution

The fourth proportional to 6,951.62, 10,422.88 and 2,566.69 is: 3,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.62 : 10,422.88 = 2,566.69 : x
  2. Step 2: Convert to fraction form
    6,951.62/10,422.88 = 2,566.69/x
  3. Step 3: Cross multiply
    6,951.62x = 10,422.88 × 2,566.69
  4. Step 4: Simplify right side
    6,951.62x = 26,752,269.39
  5. Step 5: Solve for x
    x = 26,752,269.39/6,951.62
  6. Step 6: Final answer
    x = 3,848.35

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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.