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Finding the Fourth Proportional to 6,413.92, 9,620.88 and 2,518.33

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Solution

The fourth proportional to 6,413.92, 9,620.88 and 2,518.33 is: 3,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.92 : 9,620.88 = 2,518.33 : x
  2. Step 2: Convert to fraction form
    6,413.92/9,620.88 = 2,518.33/x
  3. Step 3: Cross multiply
    6,413.92x = 9,620.88 × 2,518.33
  4. Step 4: Simplify right side
    6,413.92x = 24,228,550.73
  5. Step 5: Solve for x
    x = 24,228,550.73/6,413.92
  6. Step 6: Final answer
    x = 3,777.50

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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.