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Finding the Fourth Proportional to 7,849, 11,773.20 and 3,167.56

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Solution

The fourth proportional to 7,849, 11,773.20 and 3,167.56 is: 4,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 11,773.20 = 3,167.56 : x
  2. Step 2: Convert to fraction form
    7,849/11,773.20 = 3,167.56/x
  3. Step 3: Cross multiply
    7,849x = 11,773.20 × 3,167.56
  4. Step 4: Simplify right side
    7,849x = 37,292,317.39
  5. Step 5: Solve for x
    x = 37,292,317.39/7,849
  6. Step 6: Final answer
    x = 4,751.22

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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.