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Finding the Fourth Proportional to 6,078.50, 9,118.98 and 2,183.22

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Solution

The fourth proportional to 6,078.50, 9,118.98 and 2,183.22 is: 3,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.50 : 9,118.98 = 2,183.22 : x
  2. Step 2: Convert to fraction form
    6,078.50/9,118.98 = 2,183.22/x
  3. Step 3: Cross multiply
    6,078.50x = 9,118.98 × 2,183.22
  4. Step 4: Simplify right side
    6,078.50x = 19,908,739.52
  5. Step 5: Solve for x
    x = 19,908,739.52/6,078.50
  6. Step 6: Final answer
    x = 3,275.27

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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.