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Finding the Fourth Proportional to 12,614.37, 17,407.94 and 6,949.14

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Solution

The fourth proportional to 12,614.37, 17,407.94 and 6,949.14 is: 9,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.37 : 17,407.94 = 6,949.14 : x
  2. Step 2: Convert to fraction form
    12,614.37/17,407.94 = 6,949.14/x
  3. Step 3: Cross multiply
    12,614.37x = 17,407.94 × 6,949.14
  4. Step 4: Simplify right side
    12,614.37x = 120,970,212.17
  5. Step 5: Solve for x
    x = 120,970,212.17/12,614.37
  6. Step 6: Final answer
    x = 9,589.87

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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.