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Finding the Fourth Proportional to 11,838.56, 17,757.82 and 11,116.84

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Solution

The fourth proportional to 11,838.56, 17,757.82 and 11,116.84 is: 16,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.56 : 17,757.82 = 11,116.84 : x
  2. Step 2: Convert to fraction form
    11,838.56/17,757.82 = 11,116.84/x
  3. Step 3: Cross multiply
    11,838.56x = 17,757.82 × 11,116.84
  4. Step 4: Simplify right side
    11,838.56x = 197,410,843.69
  5. Step 5: Solve for x
    x = 197,410,843.69/11,838.56
  6. Step 6: Final answer
    x = 16,675.24

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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.