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Finding the Fourth Proportional to 11,227.98, 16,820.08 and 6,834.54

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Solution

The fourth proportional to 11,227.98, 16,820.08 and 6,834.54 is: 10,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.98 : 16,820.08 = 6,834.54 : x
  2. Step 2: Convert to fraction form
    11,227.98/16,820.08 = 6,834.54/x
  3. Step 3: Cross multiply
    11,227.98x = 16,820.08 × 6,834.54
  4. Step 4: Simplify right side
    11,227.98x = 114,957,509.56
  5. Step 5: Solve for x
    x = 114,957,509.56/11,227.98
  6. Step 6: Final answer
    x = 10,238.49

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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.