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Finding the Fourth Proportional to 6,524.42, 9,786.62 and 3,239.81

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Solution

The fourth proportional to 6,524.42, 9,786.62 and 3,239.81 is: 4,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.42 : 9,786.62 = 3,239.81 : x
  2. Step 2: Convert to fraction form
    6,524.42/9,786.62 = 3,239.81/x
  3. Step 3: Cross multiply
    6,524.42x = 9,786.62 × 3,239.81
  4. Step 4: Simplify right side
    6,524.42x = 31,706,773.14
  5. Step 5: Solve for x
    x = 31,706,773.14/6,524.42
  6. Step 6: Final answer
    x = 4,859.71

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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.