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Finding the Fourth Proportional to 6,402.60, 9,604.54 and 2,297.64

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Solution

The fourth proportional to 6,402.60, 9,604.54 and 2,297.64 is: 3,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.60 : 9,604.54 = 2,297.64 : x
  2. Step 2: Convert to fraction form
    6,402.60/9,604.54 = 2,297.64/x
  3. Step 3: Cross multiply
    6,402.60x = 9,604.54 × 2,297.64
  4. Step 4: Simplify right side
    6,402.60x = 22,067,775.29
  5. Step 5: Solve for x
    x = 22,067,775.29/6,402.60
  6. Step 6: Final answer
    x = 3,446.69

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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.