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Finding the Fourth Proportional to 11,672.11, 16,107.24 and 6,366.97

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Solution

The fourth proportional to 11,672.11, 16,107.24 and 6,366.97 is: 8,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.11 : 16,107.24 = 6,366.97 : x
  2. Step 2: Convert to fraction form
    11,672.11/16,107.24 = 6,366.97/x
  3. Step 3: Cross multiply
    11,672.11x = 16,107.24 × 6,366.97
  4. Step 4: Simplify right side
    11,672.11x = 102,554,313.86
  5. Step 5: Solve for x
    x = 102,554,313.86/11,672.11
  6. Step 6: Final answer
    x = 8,786.27

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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.