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Finding the Fourth Proportional to 8,410.92, 12,616.38 and 2,255.08

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Solution

The fourth proportional to 8,410.92, 12,616.38 and 2,255.08 is: 3,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.92 : 12,616.38 = 2,255.08 : x
  2. Step 2: Convert to fraction form
    8,410.92/12,616.38 = 2,255.08/x
  3. Step 3: Cross multiply
    8,410.92x = 12,616.38 × 2,255.08
  4. Step 4: Simplify right side
    8,410.92x = 28,450,946.21
  5. Step 5: Solve for x
    x = 28,450,946.21/8,410.92
  6. Step 6: Final answer
    x = 3,382.62

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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.