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Finding the Fourth Proportional to 6,404.13, 9,609.84 and 3,633.93

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Solution

The fourth proportional to 6,404.13, 9,609.84 and 3,633.93 is: 5,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.13 : 9,609.84 = 3,633.93 : x
  2. Step 2: Convert to fraction form
    6,404.13/9,609.84 = 3,633.93/x
  3. Step 3: Cross multiply
    6,404.13x = 9,609.84 × 3,633.93
  4. Step 4: Simplify right side
    6,404.13x = 34,921,485.87
  5. Step 5: Solve for x
    x = 34,921,485.87/6,404.13
  6. Step 6: Final answer
    x = 5,452.96

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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.