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Finding the Fourth Proportional to 11,834.94, 17,737.56 and 6,274.56

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Solution

The fourth proportional to 11,834.94, 17,737.56 and 6,274.56 is: 9,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.94 : 17,737.56 = 6,274.56 : x
  2. Step 2: Convert to fraction form
    11,834.94/17,737.56 = 6,274.56/x
  3. Step 3: Cross multiply
    11,834.94x = 17,737.56 × 6,274.56
  4. Step 4: Simplify right side
    11,834.94x = 111,295,384.47
  5. Step 5: Solve for x
    x = 111,295,384.47/11,834.94
  6. Step 6: Final answer
    x = 9,403.97

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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.