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Finding the Fourth Proportional to 27,609.50, 41,414.25 and 6,833

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Solution

The fourth proportional to 27,609.50, 41,414.25 and 6,833 is: 10,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609.50 : 41,414.25 = 6,833 : x
  2. Step 2: Convert to fraction form
    27,609.50/41,414.25 = 6,833/x
  3. Step 3: Cross multiply
    27,609.50x = 41,414.25 × 6,833
  4. Step 4: Simplify right side
    27,609.50x = 282,983,570.25
  5. Step 5: Solve for x
    x = 282,983,570.25/27,609.50
  6. Step 6: Final answer
    x = 10,249.50

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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.