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Finding the Fourth Proportional to 27,589.50, 41,384.37 and 6,813

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Solution

The fourth proportional to 27,589.50, 41,384.37 and 6,813 is: 10,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.50 : 41,384.37 = 6,813 : x
  2. Step 2: Convert to fraction form
    27,589.50/41,384.37 = 6,813/x
  3. Step 3: Cross multiply
    27,589.50x = 41,384.37 × 6,813
  4. Step 4: Simplify right side
    27,589.50x = 281,951,712.81
  5. Step 5: Solve for x
    x = 281,951,712.81/27,589.50
  6. Step 6: Final answer
    x = 10,219.53

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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.