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Finding the Fourth Proportional to 27,722, 41,583 and 6,945.52

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Solution

The fourth proportional to 27,722, 41,583 and 6,945.52 is: 10,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 41,583 = 6,945.52 : x
  2. Step 2: Convert to fraction form
    27,722/41,583 = 6,945.52/x
  3. Step 3: Cross multiply
    27,722x = 41,583 × 6,945.52
  4. Step 4: Simplify right side
    27,722x = 288,815,558.16
  5. Step 5: Solve for x
    x = 288,815,558.16/27,722
  6. Step 6: Final answer
    x = 10,418.28

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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.