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Finding the Fourth Proportional to 5,633.70, 7,773.21 and 3,274.44

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Solution

The fourth proportional to 5,633.70, 7,773.21 and 3,274.44 is: 4,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.70 : 7,773.21 = 3,274.44 : x
  2. Step 2: Convert to fraction form
    5,633.70/7,773.21 = 3,274.44/x
  3. Step 3: Cross multiply
    5,633.70x = 7,773.21 × 3,274.44
  4. Step 4: Simplify right side
    5,633.70x = 25,452,909.75
  5. Step 5: Solve for x
    x = 25,452,909.75/5,633.70
  6. Step 6: Final answer
    x = 4,517.97

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1.5x scale

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.