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Finding the Fourth Proportional to 27,614.50, 41,421.75 and 6,838

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Solution

The fourth proportional to 27,614.50, 41,421.75 and 6,838 is: 10,257

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.50 : 41,421.75 = 6,838 : x
  2. Step 2: Convert to fraction form
    27,614.50/41,421.75 = 6,838/x
  3. Step 3: Cross multiply
    27,614.50x = 41,421.75 × 6,838
  4. Step 4: Simplify right side
    27,614.50x = 283,241,926.50
  5. Step 5: Solve for x
    x = 283,241,926.50/27,614.50
  6. Step 6: Final answer
    x = 10,257

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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.