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Finding the Fourth Proportional to 11,227.80, 16,849.80 and 6,292.20

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Solution

The fourth proportional to 11,227.80, 16,849.80 and 6,292.20 is: 9,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.80 : 16,849.80 = 6,292.20 : x
  2. Step 2: Convert to fraction form
    11,227.80/16,849.80 = 6,292.20/x
  3. Step 3: Cross multiply
    11,227.80x = 16,849.80 × 6,292.20
  4. Step 4: Simplify right side
    11,227.80x = 106,022,311.56
  5. Step 5: Solve for x
    x = 106,022,311.56/11,227.80
  6. Step 6: Final answer
    x = 9,442.84

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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.