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Finding the Fourth Proportional to 6,784.25, 10,176.56 and 2,167.25

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Solution

The fourth proportional to 6,784.25, 10,176.56 and 2,167.25 is: 3,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.25 : 10,176.56 = 2,167.25 : x
  2. Step 2: Convert to fraction form
    6,784.25/10,176.56 = 2,167.25/x
  3. Step 3: Cross multiply
    6,784.25x = 10,176.56 × 2,167.25
  4. Step 4: Simplify right side
    6,784.25x = 22,055,149.66
  5. Step 5: Solve for x
    x = 22,055,149.66/6,784.25
  6. Step 6: Final answer
    x = 3,250.93

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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.