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Finding the Fourth Proportional to 6,493.82, 9,729.11 and 5,560.25

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Solution

The fourth proportional to 6,493.82, 9,729.11 and 5,560.25 is: 8,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.82 : 9,729.11 = 5,560.25 : x
  2. Step 2: Convert to fraction form
    6,493.82/9,729.11 = 5,560.25/x
  3. Step 3: Cross multiply
    6,493.82x = 9,729.11 × 5,560.25
  4. Step 4: Simplify right side
    6,493.82x = 54,096,249.13
  5. Step 5: Solve for x
    x = 54,096,249.13/6,493.82
  6. Step 6: Final answer
    x = 8,330.42

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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.