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Finding the Fourth Proportional to 6,578.28, 9,871.50 and 2,682.68

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Solution

The fourth proportional to 6,578.28, 9,871.50 and 2,682.68 is: 4,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.28 : 9,871.50 = 2,682.68 : x
  2. Step 2: Convert to fraction form
    6,578.28/9,871.50 = 2,682.68/x
  3. Step 3: Cross multiply
    6,578.28x = 9,871.50 × 2,682.68
  4. Step 4: Simplify right side
    6,578.28x = 26,482,075.62
  5. Step 5: Solve for x
    x = 26,482,075.62/6,578.28
  6. Step 6: Final answer
    x = 4,025.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.