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Finding the Fourth Proportional to 8,409.57, 12,614.35 and 2,863.50

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Solution

The fourth proportional to 8,409.57, 12,614.35 and 2,863.50 is: 4,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.57 : 12,614.35 = 2,863.50 : x
  2. Step 2: Convert to fraction form
    8,409.57/12,614.35 = 2,863.50/x
  3. Step 3: Cross multiply
    8,409.57x = 12,614.35 × 2,863.50
  4. Step 4: Simplify right side
    8,409.57x = 36,121,128.15
  5. Step 5: Solve for x
    x = 36,121,128.15/8,409.57
  6. Step 6: Final answer
    x = 4,295.24

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Similar ratio
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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.