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Finding the Fourth Proportional to 10,676.97, 15,996.02 and 7,872.75

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Solution

The fourth proportional to 10,676.97, 15,996.02 and 7,872.75 is: 11,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.97 : 15,996.02 = 7,872.75 : x
  2. Step 2: Convert to fraction form
    10,676.97/15,996.02 = 7,872.75/x
  3. Step 3: Cross multiply
    10,676.97x = 15,996.02 × 7,872.75
  4. Step 4: Simplify right side
    10,676.97x = 125,932,627.09
  5. Step 5: Solve for x
    x = 125,932,627.09/10,676.97
  6. Step 6: Final answer
    x = 11,794.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.