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Finding the Fourth Proportional to 8,093.86, 12,134.85 and 3,413.68

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Solution

The fourth proportional to 8,093.86, 12,134.85 and 3,413.68 is: 5,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.86 : 12,134.85 = 3,413.68 : x
  2. Step 2: Convert to fraction form
    8,093.86/12,134.85 = 3,413.68/x
  3. Step 3: Cross multiply
    8,093.86x = 12,134.85 × 3,413.68
  4. Step 4: Simplify right side
    8,093.86x = 41,424,494.75
  5. Step 5: Solve for x
    x = 41,424,494.75/8,093.86
  6. Step 6: Final answer
    x = 5,118.01

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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.