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Finding the Fourth Proportional to 6,233.06, 9,348.78 and 2,769.50

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Solution

The fourth proportional to 6,233.06, 9,348.78 and 2,769.50 is: 4,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.06 : 9,348.78 = 2,769.50 : x
  2. Step 2: Convert to fraction form
    6,233.06/9,348.78 = 2,769.50/x
  3. Step 3: Cross multiply
    6,233.06x = 9,348.78 × 2,769.50
  4. Step 4: Simplify right side
    6,233.06x = 25,891,446.21
  5. Step 5: Solve for x
    x = 25,891,446.21/6,233.06
  6. Step 6: Final answer
    x = 4,153.89

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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.