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Finding the Fourth Proportional to 12,951.44, 19,432.92 and 6,794

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Solution

The fourth proportional to 12,951.44, 19,432.92 and 6,794 is: 10,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.44 : 19,432.92 = 6,794 : x
  2. Step 2: Convert to fraction form
    12,951.44/19,432.92 = 6,794/x
  3. Step 3: Cross multiply
    12,951.44x = 19,432.92 × 6,794
  4. Step 4: Simplify right side
    12,951.44x = 132,027,258.48
  5. Step 5: Solve for x
    x = 132,027,258.48/12,951.44
  6. Step 6: Final answer
    x = 10,194.02

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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.