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Finding the Fourth Proportional to 6,834.50, 10,243.50 and 2,884.22

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Solution

The fourth proportional to 6,834.50, 10,243.50 and 2,884.22 is: 4,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.50 : 10,243.50 = 2,884.22 : x
  2. Step 2: Convert to fraction form
    6,834.50/10,243.50 = 2,884.22/x
  3. Step 3: Cross multiply
    6,834.50x = 10,243.50 × 2,884.22
  4. Step 4: Simplify right side
    6,834.50x = 29,544,456.35
  5. Step 5: Solve for x
    x = 29,544,456.35/6,834.50
  6. Step 6: Final answer
    x = 4,322.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.