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Finding the Fourth Proportional to 6,582.17, 9,873.77 and 2,199.65

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Solution

The fourth proportional to 6,582.17, 9,873.77 and 2,199.65 is: 3,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.17 : 9,873.77 = 2,199.65 : x
  2. Step 2: Convert to fraction form
    6,582.17/9,873.77 = 2,199.65/x
  3. Step 3: Cross multiply
    6,582.17x = 9,873.77 × 2,199.65
  4. Step 4: Simplify right side
    6,582.17x = 21,718,794.31
  5. Step 5: Solve for x
    x = 21,718,794.31/6,582.17
  6. Step 6: Final answer
    x = 3,299.64

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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.