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Finding the Fourth Proportional to 10,267.92, 15,413.76 and 8,213.04

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Solution

The fourth proportional to 10,267.92, 15,413.76 and 8,213.04 is: 12,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.92 : 15,413.76 = 8,213.04 : x
  2. Step 2: Convert to fraction form
    10,267.92/15,413.76 = 8,213.04/x
  3. Step 3: Cross multiply
    10,267.92x = 15,413.76 × 8,213.04
  4. Step 4: Simplify right side
    10,267.92x = 126,593,827.43
  5. Step 5: Solve for x
    x = 126,593,827.43/10,267.92
  6. Step 6: Final answer
    x = 12,329.06

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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.