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Finding the Fourth Proportional to 27,586, 41,379.84 and 6,809.50

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Solution

The fourth proportional to 27,586, 41,379.84 and 6,809.50 is: 10,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586 : 41,379.84 = 6,809.50 : x
  2. Step 2: Convert to fraction form
    27,586/41,379.84 = 6,809.50/x
  3. Step 3: Cross multiply
    27,586x = 41,379.84 × 6,809.50
  4. Step 4: Simplify right side
    27,586x = 281,776,020.48
  5. Step 5: Solve for x
    x = 281,776,020.48/27,586
  6. Step 6: Final answer
    x = 10,214.46

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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.