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Finding the Fourth Proportional to 22,667, 34,002.42 and 6,251

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Solution

The fourth proportional to 22,667, 34,002.42 and 6,251 is: 9,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667 : 34,002.42 = 6,251 : x
  2. Step 2: Convert to fraction form
    22,667/34,002.42 = 6,251/x
  3. Step 3: Cross multiply
    22,667x = 34,002.42 × 6,251
  4. Step 4: Simplify right side
    22,667x = 212,549,127.42
  5. Step 5: Solve for x
    x = 212,549,127.42/22,667
  6. Step 6: Final answer
    x = 9,377.03

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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.