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Finding the Fourth Proportional to 6,224.27, 8,577.68 and 4,452.80

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Solution

The fourth proportional to 6,224.27, 8,577.68 and 4,452.80 is: 6,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.27 : 8,577.68 = 4,452.80 : x
  2. Step 2: Convert to fraction form
    6,224.27/8,577.68 = 4,452.80/x
  3. Step 3: Cross multiply
    6,224.27x = 8,577.68 × 4,452.80
  4. Step 4: Simplify right side
    6,224.27x = 38,194,692.68
  5. Step 5: Solve for x
    x = 38,194,692.68/6,224.27
  6. Step 6: Final answer
    x = 6,136.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.