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Finding the Fourth Proportional to 6,132.93, 9,194.52 and 2,667.75

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Solution

The fourth proportional to 6,132.93, 9,194.52 and 2,667.75 is: 3,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.93 : 9,194.52 = 2,667.75 : x
  2. Step 2: Convert to fraction form
    6,132.93/9,194.52 = 2,667.75/x
  3. Step 3: Cross multiply
    6,132.93x = 9,194.52 × 2,667.75
  4. Step 4: Simplify right side
    6,132.93x = 24,528,680.73
  5. Step 5: Solve for x
    x = 24,528,680.73/6,132.93
  6. Step 6: Final answer
    x = 3,999.50

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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.