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Finding the Fourth Proportional to 6,861.50, 10,292.25 and 1,667.39

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Solution

The fourth proportional to 6,861.50, 10,292.25 and 1,667.39 is: 2,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.50 : 10,292.25 = 1,667.39 : x
  2. Step 2: Convert to fraction form
    6,861.50/10,292.25 = 1,667.39/x
  3. Step 3: Cross multiply
    6,861.50x = 10,292.25 × 1,667.39
  4. Step 4: Simplify right side
    6,861.50x = 17,161,194.73
  5. Step 5: Solve for x
    x = 17,161,194.73/6,861.50
  6. Step 6: Final answer
    x = 2,501.09

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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.