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Finding the Fourth Proportional to 27,197.78, 40,800.78 and 9,663.44

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Solution

The fourth proportional to 27,197.78, 40,800.78 and 9,663.44 is: 14,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.78 : 40,800.78 = 9,663.44 : x
  2. Step 2: Convert to fraction form
    27,197.78/40,800.78 = 9,663.44/x
  3. Step 3: Cross multiply
    27,197.78x = 40,800.78 × 9,663.44
  4. Step 4: Simplify right side
    27,197.78x = 394,275,685.48
  5. Step 5: Solve for x
    x = 394,275,685.48/27,197.78
  6. Step 6: Final answer
    x = 14,496.62

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1.5x scale

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.