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Finding the Fourth Proportional to 6,791.25, 10,189.04 and 2,174.25

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Solution

The fourth proportional to 6,791.25, 10,189.04 and 2,174.25 is: 3,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.25 : 10,189.04 = 2,174.25 : x
  2. Step 2: Convert to fraction form
    6,791.25/10,189.04 = 2,174.25/x
  3. Step 3: Cross multiply
    6,791.25x = 10,189.04 × 2,174.25
  4. Step 4: Simplify right side
    6,791.25x = 22,153,509.35
  5. Step 5: Solve for x
    x = 22,153,509.35/6,791.25
  6. Step 6: Final answer
    x = 3,262.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.