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Finding the Fourth Proportional to 9,667, 14,500.50 and 2,371

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Solution

The fourth proportional to 9,667, 14,500.50 and 2,371 is: 3,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667 : 14,500.50 = 2,371 : x
  2. Step 2: Convert to fraction form
    9,667/14,500.50 = 2,371/x
  3. Step 3: Cross multiply
    9,667x = 14,500.50 × 2,371
  4. Step 4: Simplify right side
    9,667x = 34,380,685.50
  5. Step 5: Solve for x
    x = 34,380,685.50/9,667
  6. Step 6: Final answer
    x = 3,556.50

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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.