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Finding the Fourth Proportional to 11,951.72, 16,493.78 and 6,574.39

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Solution

The fourth proportional to 11,951.72, 16,493.78 and 6,574.39 is: 9,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.72 : 16,493.78 = 6,574.39 : x
  2. Step 2: Convert to fraction form
    11,951.72/16,493.78 = 6,574.39/x
  3. Step 3: Cross multiply
    11,951.72x = 16,493.78 × 6,574.39
  4. Step 4: Simplify right side
    11,951.72x = 108,436,542.29
  5. Step 5: Solve for x
    x = 108,436,542.29/11,951.72
  6. Step 6: Final answer
    x = 9,072.88

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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.