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Finding the Fourth Proportional to 6,532, 9,791.52 and 3,611.68

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Solution

The fourth proportional to 6,532, 9,791.52 and 3,611.68 is: 5,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532 : 9,791.52 = 3,611.68 : x
  2. Step 2: Convert to fraction form
    6,532/9,791.52 = 3,611.68/x
  3. Step 3: Cross multiply
    6,532x = 9,791.52 × 3,611.68
  4. Step 4: Simplify right side
    6,532x = 35,363,836.95
  5. Step 5: Solve for x
    x = 35,363,836.95/6,532
  6. Step 6: Final answer
    x = 5,413.94

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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.