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Finding the Fourth Proportional to 27,615.50, 41,423.25 and 6,839

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Solution

The fourth proportional to 27,615.50, 41,423.25 and 6,839 is: 10,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.50 : 41,423.25 = 6,839 : x
  2. Step 2: Convert to fraction form
    27,615.50/41,423.25 = 6,839/x
  3. Step 3: Cross multiply
    27,615.50x = 41,423.25 × 6,839
  4. Step 4: Simplify right side
    27,615.50x = 283,293,606.75
  5. Step 5: Solve for x
    x = 283,293,606.75/27,615.50
  6. Step 6: Final answer
    x = 10,258.50

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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.