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Finding the Fourth Proportional to 8,257.61, 12,388.17 and 2,413.73

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Solution

The fourth proportional to 8,257.61, 12,388.17 and 2,413.73 is: 3,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.61 : 12,388.17 = 2,413.73 : x
  2. Step 2: Convert to fraction form
    8,257.61/12,388.17 = 2,413.73/x
  3. Step 3: Cross multiply
    8,257.61x = 12,388.17 × 2,413.73
  4. Step 4: Simplify right side
    8,257.61x = 29,901,697.57
  5. Step 5: Solve for x
    x = 29,901,697.57/8,257.61
  6. Step 6: Final answer
    x = 3,621.11

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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.