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Finding the Fourth Proportional to 6,299.12, 9,448.68 and 1,682

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Solution

The fourth proportional to 6,299.12, 9,448.68 and 1,682 is: 2,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.12 : 9,448.68 = 1,682 : x
  2. Step 2: Convert to fraction form
    6,299.12/9,448.68 = 1,682/x
  3. Step 3: Cross multiply
    6,299.12x = 9,448.68 × 1,682
  4. Step 4: Simplify right side
    6,299.12x = 15,892,679.76
  5. Step 5: Solve for x
    x = 15,892,679.76/6,299.12
  6. Step 6: Final answer
    x = 2,523

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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.