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Finding the Fourth Proportional to 6,676.54, 10,016.82 and 1,996.71

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Solution

The fourth proportional to 6,676.54, 10,016.82 and 1,996.71 is: 2,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.54 : 10,016.82 = 1,996.71 : x
  2. Step 2: Convert to fraction form
    6,676.54/10,016.82 = 1,996.71/x
  3. Step 3: Cross multiply
    6,676.54x = 10,016.82 × 1,996.71
  4. Step 4: Simplify right side
    6,676.54x = 20,000,634.58
  5. Step 5: Solve for x
    x = 20,000,634.58/6,676.54
  6. Step 6: Final answer
    x = 2,995.66

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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.