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Finding the Fourth Proportional to 6,821.44, 9,413.92 and 3,837.44

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Solution

The fourth proportional to 6,821.44, 9,413.92 and 3,837.44 is: 5,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.44 : 9,413.92 = 3,837.44 : x
  2. Step 2: Convert to fraction form
    6,821.44/9,413.92 = 3,837.44/x
  3. Step 3: Cross multiply
    6,821.44x = 9,413.92 × 3,837.44
  4. Step 4: Simplify right side
    6,821.44x = 36,125,353.16
  5. Step 5: Solve for x
    x = 36,125,353.16/6,821.44
  6. Step 6: Final answer
    x = 5,295.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.