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Finding the Fourth Proportional to 27,756, 41,630.94 and 6,979.50

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Solution

The fourth proportional to 27,756, 41,630.94 and 6,979.50 is: 10,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 41,630.94 = 6,979.50 : x
  2. Step 2: Convert to fraction form
    27,756/41,630.94 = 6,979.50/x
  3. Step 3: Cross multiply
    27,756x = 41,630.94 × 6,979.50
  4. Step 4: Simplify right side
    27,756x = 290,563,145.73
  5. Step 5: Solve for x
    x = 290,563,145.73/27,756
  6. Step 6: Final answer
    x = 10,468.48

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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.