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Finding the Fourth Proportional to 7,344.89, 11,013.19 and 2,413.20

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Solution

The fourth proportional to 7,344.89, 11,013.19 and 2,413.20 is: 3,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.89 : 11,013.19 = 2,413.20 : x
  2. Step 2: Convert to fraction form
    7,344.89/11,013.19 = 2,413.20/x
  3. Step 3: Cross multiply
    7,344.89x = 11,013.19 × 2,413.20
  4. Step 4: Simplify right side
    7,344.89x = 26,577,024.08
  5. Step 5: Solve for x
    x = 26,577,024.08/7,344.89
  6. Step 6: Final answer
    x = 3,618.44

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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.