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Finding the Fourth Proportional to 6,582.80, 9,870.60 and 2,682.80

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Solution

The fourth proportional to 6,582.80, 9,870.60 and 2,682.80 is: 4,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.80 : 9,870.60 = 2,682.80 : x
  2. Step 2: Convert to fraction form
    6,582.80/9,870.60 = 2,682.80/x
  3. Step 3: Cross multiply
    6,582.80x = 9,870.60 × 2,682.80
  4. Step 4: Simplify right side
    6,582.80x = 26,480,845.68
  5. Step 5: Solve for x
    x = 26,480,845.68/6,582.80
  6. Step 6: Final answer
    x = 4,022.73

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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.