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Finding the Fourth Proportional to 6,094.62, 9,143.79 and 2,582.79

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Solution

The fourth proportional to 6,094.62, 9,143.79 and 2,582.79 is: 3,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.62 : 9,143.79 = 2,582.79 : x
  2. Step 2: Convert to fraction form
    6,094.62/9,143.79 = 2,582.79/x
  3. Step 3: Cross multiply
    6,094.62x = 9,143.79 × 2,582.79
  4. Step 4: Simplify right side
    6,094.62x = 23,616,489.37
  5. Step 5: Solve for x
    x = 23,616,489.37/6,094.62
  6. Step 6: Final answer
    x = 3,874.97

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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.