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Finding the Fourth Proportional to 11,737.67, 16,195.08 and 6,958.73

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Solution

The fourth proportional to 11,737.67, 16,195.08 and 6,958.73 is: 9,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.67 : 16,195.08 = 6,958.73 : x
  2. Step 2: Convert to fraction form
    11,737.67/16,195.08 = 6,958.73/x
  3. Step 3: Cross multiply
    11,737.67x = 16,195.08 × 6,958.73
  4. Step 4: Simplify right side
    11,737.67x = 112,697,168.80
  5. Step 5: Solve for x
    x = 112,697,168.80/11,737.67
  6. Step 6: Final answer
    x = 9,601.33

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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.