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Finding the Fourth Proportional to 6,216.54, 9,324.73 and 1,834.03

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Solution

The fourth proportional to 6,216.54, 9,324.73 and 1,834.03 is: 2,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.54 : 9,324.73 = 1,834.03 : x
  2. Step 2: Convert to fraction form
    6,216.54/9,324.73 = 1,834.03/x
  3. Step 3: Cross multiply
    6,216.54x = 9,324.73 × 1,834.03
  4. Step 4: Simplify right side
    6,216.54x = 17,101,834.56
  5. Step 5: Solve for x
    x = 17,101,834.56/6,216.54
  6. Step 6: Final answer
    x = 2,751.02

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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.