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Finding the Fourth Proportional to 11,737.75, 16,198.10 and 6,769.75

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Solution

The fourth proportional to 11,737.75, 16,198.10 and 6,769.75 is: 9,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.75 : 16,198.10 = 6,769.75 : x
  2. Step 2: Convert to fraction form
    11,737.75/16,198.10 = 6,769.75/x
  3. Step 3: Cross multiply
    11,737.75x = 16,198.10 × 6,769.75
  4. Step 4: Simplify right side
    11,737.75x = 109,657,087.48
  5. Step 5: Solve for x
    x = 109,657,087.48/11,737.75
  6. Step 6: Final answer
    x = 9,342.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.