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Finding the Fourth Proportional to 27,759, 41,635.44 and 6,982.50

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Solution

The fourth proportional to 27,759, 41,635.44 and 6,982.50 is: 10,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759 : 41,635.44 = 6,982.50 : x
  2. Step 2: Convert to fraction form
    27,759/41,635.44 = 6,982.50/x
  3. Step 3: Cross multiply
    27,759x = 41,635.44 × 6,982.50
  4. Step 4: Simplify right side
    27,759x = 290,719,459.80
  5. Step 5: Solve for x
    x = 290,719,459.80/27,759
  6. Step 6: Final answer
    x = 10,472.98

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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.