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Finding the Fourth Proportional to 8,269.92, 12,398.94 and 3,884.94

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Solution

The fourth proportional to 8,269.92, 12,398.94 and 3,884.94 is: 5,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.92 : 12,398.94 = 3,884.94 : x
  2. Step 2: Convert to fraction form
    8,269.92/12,398.94 = 3,884.94/x
  3. Step 3: Cross multiply
    8,269.92x = 12,398.94 × 3,884.94
  4. Step 4: Simplify right side
    8,269.92x = 48,169,137.96
  5. Step 5: Solve for x
    x = 48,169,137.96/8,269.92
  6. Step 6: Final answer
    x = 5,824.62

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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.