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Finding the Fourth Proportional to 6,167.90, 9,253 and 2,006.78

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Solution

The fourth proportional to 6,167.90, 9,253 and 2,006.78 is: 3,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.90 : 9,253 = 2,006.78 : x
  2. Step 2: Convert to fraction form
    6,167.90/9,253 = 2,006.78/x
  3. Step 3: Cross multiply
    6,167.90x = 9,253 × 2,006.78
  4. Step 4: Simplify right side
    6,167.90x = 18,568,735.34
  5. Step 5: Solve for x
    x = 18,568,735.34/6,167.90
  6. Step 6: Final answer
    x = 3,010.54

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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.