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Finding the Fourth Proportional to 6,676.67, 9,211.38 and 5,144.10

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Solution

The fourth proportional to 6,676.67, 9,211.38 and 5,144.10 is: 7,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.67 : 9,211.38 = 5,144.10 : x
  2. Step 2: Convert to fraction form
    6,676.67/9,211.38 = 5,144.10/x
  3. Step 3: Cross multiply
    6,676.67x = 9,211.38 × 5,144.10
  4. Step 4: Simplify right side
    6,676.67x = 47,384,259.86
  5. Step 5: Solve for x
    x = 47,384,259.86/6,676.67
  6. Step 6: Final answer
    x = 7,096.99

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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.