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Finding the Fourth Proportional to 15,262.80, 22,894.20 and 5,413.20

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Solution

The fourth proportional to 15,262.80, 22,894.20 and 5,413.20 is: 8,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.80 : 22,894.20 = 5,413.20 : x
  2. Step 2: Convert to fraction form
    15,262.80/22,894.20 = 5,413.20/x
  3. Step 3: Cross multiply
    15,262.80x = 22,894.20 × 5,413.20
  4. Step 4: Simplify right side
    15,262.80x = 123,930,883.44
  5. Step 5: Solve for x
    x = 123,930,883.44/15,262.80
  6. Step 6: Final answer
    x = 8,119.80

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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.