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Finding the Fourth Proportional to 6,438.99, 9,658.89 and 1,759.08

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Solution

The fourth proportional to 6,438.99, 9,658.89 and 1,759.08 is: 2,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.99 : 9,658.89 = 1,759.08 : x
  2. Step 2: Convert to fraction form
    6,438.99/9,658.89 = 1,759.08/x
  3. Step 3: Cross multiply
    6,438.99x = 9,658.89 × 1,759.08
  4. Step 4: Simplify right side
    6,438.99x = 16,990,760.22
  5. Step 5: Solve for x
    x = 16,990,760.22/6,438.99
  6. Step 6: Final answer
    x = 2,638.73

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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.