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Finding the Fourth Proportional to 5,463.92, 8,197.80 and 1,766.30

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Solution

The fourth proportional to 5,463.92, 8,197.80 and 1,766.30 is: 2,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.92 : 8,197.80 = 1,766.30 : x
  2. Step 2: Convert to fraction form
    5,463.92/8,197.80 = 1,766.30/x
  3. Step 3: Cross multiply
    5,463.92x = 8,197.80 × 1,766.30
  4. Step 4: Simplify right side
    5,463.92x = 14,479,774.14
  5. Step 5: Solve for x
    x = 14,479,774.14/5,463.92
  6. Step 6: Final answer
    x = 2,650.07

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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.