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Finding the Fourth Proportional to 5,467.48, 8,200.74 and 2,834.86

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Solution

The fourth proportional to 5,467.48, 8,200.74 and 2,834.86 is: 4,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.48 : 8,200.74 = 2,834.86 : x
  2. Step 2: Convert to fraction form
    5,467.48/8,200.74 = 2,834.86/x
  3. Step 3: Cross multiply
    5,467.48x = 8,200.74 × 2,834.86
  4. Step 4: Simplify right side
    5,467.48x = 23,247,949.80
  5. Step 5: Solve for x
    x = 23,247,949.80/5,467.48
  6. Step 6: Final answer
    x = 4,252.04

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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.