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Finding the Fourth Proportional to 11,951.05, 16,494.82 and 6,916.90

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Solution

The fourth proportional to 11,951.05, 16,494.82 and 6,916.90 is: 9,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.05 : 16,494.82 = 6,916.90 : x
  2. Step 2: Convert to fraction form
    11,951.05/16,494.82 = 6,916.90/x
  3. Step 3: Cross multiply
    11,951.05x = 16,494.82 × 6,916.90
  4. Step 4: Simplify right side
    11,951.05x = 114,092,961.93
  5. Step 5: Solve for x
    x = 114,092,961.93/11,951.05
  6. Step 6: Final answer
    x = 9,546.69

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1.5x scale

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.