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Finding the Fourth Proportional to 5,197.44, 7,179.84 and 4,938.24

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Solution

The fourth proportional to 5,197.44, 7,179.84 and 4,938.24 is: 6,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.44 : 7,179.84 = 4,938.24 : x
  2. Step 2: Convert to fraction form
    5,197.44/7,179.84 = 4,938.24/x
  3. Step 3: Cross multiply
    5,197.44x = 7,179.84 × 4,938.24
  4. Step 4: Simplify right side
    5,197.44x = 35,455,773.08
  5. Step 5: Solve for x
    x = 35,455,773.08/5,197.44
  6. Step 6: Final answer
    x = 6,821.78

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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.