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Finding the Fourth Proportional to 6,676.56, 9,213.72 and 3,882

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Solution

The fourth proportional to 6,676.56, 9,213.72 and 3,882 is: 5,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.56 : 9,213.72 = 3,882 : x
  2. Step 2: Convert to fraction form
    6,676.56/9,213.72 = 3,882/x
  3. Step 3: Cross multiply
    6,676.56x = 9,213.72 × 3,882
  4. Step 4: Simplify right side
    6,676.56x = 35,767,661.04
  5. Step 5: Solve for x
    x = 35,767,661.04/6,676.56
  6. Step 6: Final answer
    x = 5,357.20

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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.