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Finding the Fourth Proportional to 6,596.82, 9,894.42 and 3,825

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Solution

The fourth proportional to 6,596.82, 9,894.42 and 3,825 is: 5,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.82 : 9,894.42 = 3,825 : x
  2. Step 2: Convert to fraction form
    6,596.82/9,894.42 = 3,825/x
  3. Step 3: Cross multiply
    6,596.82x = 9,894.42 × 3,825
  4. Step 4: Simplify right side
    6,596.82x = 37,846,156.50
  5. Step 5: Solve for x
    x = 37,846,156.50/6,596.82
  6. Step 6: Final answer
    x = 5,737.03

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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.