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Finding the Fourth Proportional to 8,227.78, 11,354.28 and 4,501.78

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Solution

The fourth proportional to 8,227.78, 11,354.28 and 4,501.78 is: 6,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.78 : 11,354.28 = 4,501.78 : x
  2. Step 2: Convert to fraction form
    8,227.78/11,354.28 = 4,501.78/x
  3. Step 3: Cross multiply
    8,227.78x = 11,354.28 × 4,501.78
  4. Step 4: Simplify right side
    8,227.78x = 51,114,470.62
  5. Step 5: Solve for x
    x = 51,114,470.62/8,227.78
  6. Step 6: Final answer
    x = 6,212.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.