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Finding the Fourth Proportional to 11,220.67, 16,818.24 and 6,828.44

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Solution

The fourth proportional to 11,220.67, 16,818.24 and 6,828.44 is: 10,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.67 : 16,818.24 = 6,828.44 : x
  2. Step 2: Convert to fraction form
    11,220.67/16,818.24 = 6,828.44/x
  3. Step 3: Cross multiply
    11,220.67x = 16,818.24 × 6,828.44
  4. Step 4: Simplify right side
    11,220.67x = 114,842,342.75
  5. Step 5: Solve for x
    x = 114,842,342.75/11,220.67
  6. Step 6: Final answer
    x = 10,234.90

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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.