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Finding the Fourth Proportional to 11,200.33, 16,764.05 and 6,797.17

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Solution

The fourth proportional to 11,200.33, 16,764.05 and 6,797.17 is: 10,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.33 : 16,764.05 = 6,797.17 : x
  2. Step 2: Convert to fraction form
    11,200.33/16,764.05 = 6,797.17/x
  3. Step 3: Cross multiply
    11,200.33x = 16,764.05 × 6,797.17
  4. Step 4: Simplify right side
    11,200.33x = 113,948,063.75
  5. Step 5: Solve for x
    x = 113,948,063.75/11,200.33
  6. Step 6: Final answer
    x = 10,173.63

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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.