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Finding the Fourth Proportional to 6,144.96, 9,218.88 and 2,250.24

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Solution

The fourth proportional to 6,144.96, 9,218.88 and 2,250.24 is: 3,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.96 : 9,218.88 = 2,250.24 : x
  2. Step 2: Convert to fraction form
    6,144.96/9,218.88 = 2,250.24/x
  3. Step 3: Cross multiply
    6,144.96x = 9,218.88 × 2,250.24
  4. Step 4: Simplify right side
    6,144.96x = 20,744,692.53
  5. Step 5: Solve for x
    x = 20,744,692.53/6,144.96
  6. Step 6: Final answer
    x = 3,375.89

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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.