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Finding the Fourth Proportional to 6,410.22, 9,613.89 and 2,306.22

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Solution

The fourth proportional to 6,410.22, 9,613.89 and 2,306.22 is: 3,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.22 : 9,613.89 = 2,306.22 : x
  2. Step 2: Convert to fraction form
    6,410.22/9,613.89 = 2,306.22/x
  3. Step 3: Cross multiply
    6,410.22x = 9,613.89 × 2,306.22
  4. Step 4: Simplify right side
    6,410.22x = 22,171,745.40
  5. Step 5: Solve for x
    x = 22,171,745.40/6,410.22
  6. Step 6: Final answer
    x = 3,458.81

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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.