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Finding the Fourth Proportional to 27,427, 41,140.64 and 6,650.50

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Solution

The fourth proportional to 27,427, 41,140.64 and 6,650.50 is: 9,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427 : 41,140.64 = 6,650.50 : x
  2. Step 2: Convert to fraction form
    27,427/41,140.64 = 6,650.50/x
  3. Step 3: Cross multiply
    27,427x = 41,140.64 × 6,650.50
  4. Step 4: Simplify right side
    27,427x = 273,605,793.07
  5. Step 5: Solve for x
    x = 273,605,793.07/27,427
  6. Step 6: Final answer
    x = 9,975.78

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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.