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Finding the Fourth Proportional to 8,256.57, 12,383.78 and 2,413.77

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Solution

The fourth proportional to 8,256.57, 12,383.78 and 2,413.77 is: 3,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.57 : 12,383.78 = 2,413.77 : x
  2. Step 2: Convert to fraction form
    8,256.57/12,383.78 = 2,413.77/x
  3. Step 3: Cross multiply
    8,256.57x = 12,383.78 × 2,413.77
  4. Step 4: Simplify right side
    8,256.57x = 29,891,584.58
  5. Step 5: Solve for x
    x = 29,891,584.58/8,256.57
  6. Step 6: Final answer
    x = 3,620.34

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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.