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Finding the Fourth Proportional to 6,404.88, 9,601.56 and 2,299.92

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Solution

The fourth proportional to 6,404.88, 9,601.56 and 2,299.92 is: 3,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.88 : 9,601.56 = 2,299.92 : x
  2. Step 2: Convert to fraction form
    6,404.88/9,601.56 = 2,299.92/x
  3. Step 3: Cross multiply
    6,404.88x = 9,601.56 × 2,299.92
  4. Step 4: Simplify right side
    6,404.88x = 22,082,819.88
  5. Step 5: Solve for x
    x = 22,082,819.88/6,404.88
  6. Step 6: Final answer
    x = 3,447.81

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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.