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Finding the Fourth Proportional to 11,456.63, 15,811.17 and 6,676.31

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Solution

The fourth proportional to 11,456.63, 15,811.17 and 6,676.31 is: 9,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.63 : 15,811.17 = 6,676.31 : x
  2. Step 2: Convert to fraction form
    11,456.63/15,811.17 = 6,676.31/x
  3. Step 3: Cross multiply
    11,456.63x = 15,811.17 × 6,676.31
  4. Step 4: Simplify right side
    11,456.63x = 105,560,286.87
  5. Step 5: Solve for x
    x = 105,560,286.87/11,456.63
  6. Step 6: Final answer
    x = 9,213.90

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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.