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Finding the Fourth Proportional to 8,648.75, 12,974.25 and 3,102.71

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Solution

The fourth proportional to 8,648.75, 12,974.25 and 3,102.71 is: 4,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.75 : 12,974.25 = 3,102.71 : x
  2. Step 2: Convert to fraction form
    8,648.75/12,974.25 = 3,102.71/x
  3. Step 3: Cross multiply
    8,648.75x = 12,974.25 × 3,102.71
  4. Step 4: Simplify right side
    8,648.75x = 40,255,335.22
  5. Step 5: Solve for x
    x = 40,255,335.22/8,648.75
  6. Step 6: Final answer
    x = 4,654.47

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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.