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Finding the Fourth Proportional to 8,676.46, 11,965.32 and 5,694.88

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Solution

The fourth proportional to 8,676.46, 11,965.32 and 5,694.88 is: 7,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.46 : 11,965.32 = 5,694.88 : x
  2. Step 2: Convert to fraction form
    8,676.46/11,965.32 = 5,694.88/x
  3. Step 3: Cross multiply
    8,676.46x = 11,965.32 × 5,694.88
  4. Step 4: Simplify right side
    8,676.46x = 68,141,061.56
  5. Step 5: Solve for x
    x = 68,141,061.56/8,676.46
  6. Step 6: Final answer
    x = 7,853.56

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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.