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Finding the Fourth Proportional to 5,462.68, 8,192.24 and 1,764.04

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Solution

The fourth proportional to 5,462.68, 8,192.24 and 1,764.04 is: 2,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.68 : 8,192.24 = 1,764.04 : x
  2. Step 2: Convert to fraction form
    5,462.68/8,192.24 = 1,764.04/x
  3. Step 3: Cross multiply
    5,462.68x = 8,192.24 × 1,764.04
  4. Step 4: Simplify right side
    5,462.68x = 14,451,439.05
  5. Step 5: Solve for x
    x = 14,451,439.05/5,462.68
  6. Step 6: Final answer
    x = 2,645.49

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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.