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Finding the Fourth Proportional to 6,582.66, 9,874.19 and 2,882.98

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Solution

The fourth proportional to 6,582.66, 9,874.19 and 2,882.98 is: 4,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.66 : 9,874.19 = 2,882.98 : x
  2. Step 2: Convert to fraction form
    6,582.66/9,874.19 = 2,882.98/x
  3. Step 3: Cross multiply
    6,582.66x = 9,874.19 × 2,882.98
  4. Step 4: Simplify right side
    6,582.66x = 28,467,092.29
  5. Step 5: Solve for x
    x = 28,467,092.29/6,582.66
  6. Step 6: Final answer
    x = 4,324.56

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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.