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Finding the Fourth Proportional to 6,299.44, 9,452.82 and 5,961.64

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Solution

The fourth proportional to 6,299.44, 9,452.82 and 5,961.64 is: 8,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.44 : 9,452.82 = 5,961.64 : x
  2. Step 2: Convert to fraction form
    6,299.44/9,452.82 = 5,961.64/x
  3. Step 3: Cross multiply
    6,299.44x = 9,452.82 × 5,961.64
  4. Step 4: Simplify right side
    6,299.44x = 56,354,309.82
  5. Step 5: Solve for x
    x = 56,354,309.82/6,299.44
  6. Step 6: Final answer
    x = 8,945.92

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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.