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Finding the Fourth Proportional to 12,614.87, 17,408.63 and 6,949.64

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Solution

The fourth proportional to 12,614.87, 17,408.63 and 6,949.64 is: 9,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.87 : 17,408.63 = 6,949.64 : x
  2. Step 2: Convert to fraction form
    12,614.87/17,408.63 = 6,949.64/x
  3. Step 3: Cross multiply
    12,614.87x = 17,408.63 × 6,949.64
  4. Step 4: Simplify right side
    12,614.87x = 120,983,589.60
  5. Step 5: Solve for x
    x = 120,983,589.60/12,614.87
  6. Step 6: Final answer
    x = 9,590.56

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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.