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Finding the Fourth Proportional to 6,093.54, 9,136.89 and 1,932.77

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Solution

The fourth proportional to 6,093.54, 9,136.89 and 1,932.77 is: 2,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.54 : 9,136.89 = 1,932.77 : x
  2. Step 2: Convert to fraction form
    6,093.54/9,136.89 = 1,932.77/x
  3. Step 3: Cross multiply
    6,093.54x = 9,136.89 × 1,932.77
  4. Step 4: Simplify right side
    6,093.54x = 17,659,529.73
  5. Step 5: Solve for x
    x = 17,659,529.73/6,093.54
  6. Step 6: Final answer
    x = 2,898.07

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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.