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Finding the Fourth Proportional to 27,583, 41,375.34 and 6,806.50

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Solution

The fourth proportional to 27,583, 41,375.34 and 6,806.50 is: 10,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583 : 41,375.34 = 6,806.50 : x
  2. Step 2: Convert to fraction form
    27,583/41,375.34 = 6,806.50/x
  3. Step 3: Cross multiply
    27,583x = 41,375.34 × 6,806.50
  4. Step 4: Simplify right side
    27,583x = 281,621,251.71
  5. Step 5: Solve for x
    x = 281,621,251.71/27,583
  6. Step 6: Final answer
    x = 10,209.96

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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.