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Finding the Fourth Proportional to 7,608.60, 11,413.05 and 3,447.84

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Solution

The fourth proportional to 7,608.60, 11,413.05 and 3,447.84 is: 5,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.60 : 11,413.05 = 3,447.84 : x
  2. Step 2: Convert to fraction form
    7,608.60/11,413.05 = 3,447.84/x
  3. Step 3: Cross multiply
    7,608.60x = 11,413.05 × 3,447.84
  4. Step 4: Simplify right side
    7,608.60x = 39,350,370.31
  5. Step 5: Solve for x
    x = 39,350,370.31/7,608.60
  6. Step 6: Final answer
    x = 5,171.83

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1.5x scale

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.