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Finding the Fourth Proportional to 12,280.84, 16,947.66 and 6,691.72

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Solution

The fourth proportional to 12,280.84, 16,947.66 and 6,691.72 is: 9,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.84 : 16,947.66 = 6,691.72 : x
  2. Step 2: Convert to fraction form
    12,280.84/16,947.66 = 6,691.72/x
  3. Step 3: Cross multiply
    12,280.84x = 16,947.66 × 6,691.72
  4. Step 4: Simplify right side
    12,280.84x = 113,408,995.38
  5. Step 5: Solve for x
    x = 113,408,995.38/12,280.84
  6. Step 6: Final answer
    x = 9,234.63

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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.