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Finding the Fourth Proportional to 27,724, 41,586 and 6,947.52

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Solution

The fourth proportional to 27,724, 41,586 and 6,947.52 is: 10,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 41,586 = 6,947.52 : x
  2. Step 2: Convert to fraction form
    27,724/41,586 = 6,947.52/x
  3. Step 3: Cross multiply
    27,724x = 41,586 × 6,947.52
  4. Step 4: Simplify right side
    27,724x = 288,919,566.72
  5. Step 5: Solve for x
    x = 288,919,566.72/27,724
  6. Step 6: Final answer
    x = 10,421.28

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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.