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Finding the Fourth Proportional to 6,834.60, 10,243.01 and 3,083.63

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Solution

The fourth proportional to 6,834.60, 10,243.01 and 3,083.63 is: 4,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.60 : 10,243.01 = 3,083.63 : x
  2. Step 2: Convert to fraction form
    6,834.60/10,243.01 = 3,083.63/x
  3. Step 3: Cross multiply
    6,834.60x = 10,243.01 × 3,083.63
  4. Step 4: Simplify right side
    6,834.60x = 31,585,609.42
  5. Step 5: Solve for x
    x = 31,585,609.42/6,834.60
  6. Step 6: Final answer
    x = 4,621.43

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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.