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Finding the Fourth Proportional to 12,667, 17,480.46 and 7,078

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Solution

The fourth proportional to 12,667, 17,480.46 and 7,078 is: 9,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667 : 17,480.46 = 7,078 : x
  2. Step 2: Convert to fraction form
    12,667/17,480.46 = 7,078/x
  3. Step 3: Cross multiply
    12,667x = 17,480.46 × 7,078
  4. Step 4: Simplify right side
    12,667x = 123,726,695.88
  5. Step 5: Solve for x
    x = 123,726,695.88/12,667
  6. Step 6: Final answer
    x = 9,767.64

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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.