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Finding the Fourth Proportional to 6,404.67, 9,605.37 and 2,244.24

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Solution

The fourth proportional to 6,404.67, 9,605.37 and 2,244.24 is: 3,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.67 : 9,605.37 = 2,244.24 : x
  2. Step 2: Convert to fraction form
    6,404.67/9,605.37 = 2,244.24/x
  3. Step 3: Cross multiply
    6,404.67x = 9,605.37 × 2,244.24
  4. Step 4: Simplify right side
    6,404.67x = 21,556,755.57
  5. Step 5: Solve for x
    x = 21,556,755.57/6,404.67
  6. Step 6: Final answer
    x = 3,365.79

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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.