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Finding the Fourth Proportional to 11,951.92, 16,493.72 and 6,916.14

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Solution

The fourth proportional to 11,951.92, 16,493.72 and 6,916.14 is: 9,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.92 : 16,493.72 = 6,916.14 : x
  2. Step 2: Convert to fraction form
    11,951.92/16,493.72 = 6,916.14/x
  3. Step 3: Cross multiply
    11,951.92x = 16,493.72 × 6,916.14
  4. Step 4: Simplify right side
    11,951.92x = 114,072,876.64
  5. Step 5: Solve for x
    x = 114,072,876.64/11,951.92
  6. Step 6: Final answer
    x = 9,544.31

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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.