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Finding the Fourth Proportional to 9,394.57, 12,964.49 and 5,202.82

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Solution

The fourth proportional to 9,394.57, 12,964.49 and 5,202.82 is: 7,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.57 : 12,964.49 = 5,202.82 : x
  2. Step 2: Convert to fraction form
    9,394.57/12,964.49 = 5,202.82/x
  3. Step 3: Cross multiply
    9,394.57x = 12,964.49 × 5,202.82
  4. Step 4: Simplify right side
    9,394.57x = 67,451,907.86
  5. Step 5: Solve for x
    x = 67,451,907.86/9,394.57
  6. Step 6: Final answer
    x = 7,179.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.