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Finding the Fourth Proportional to 6,440.08, 9,658.98 and 1,822

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Solution

The fourth proportional to 6,440.08, 9,658.98 and 1,822 is: 2,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.08 : 9,658.98 = 1,822 : x
  2. Step 2: Convert to fraction form
    6,440.08/9,658.98 = 1,822/x
  3. Step 3: Cross multiply
    6,440.08x = 9,658.98 × 1,822
  4. Step 4: Simplify right side
    6,440.08x = 17,598,661.56
  5. Step 5: Solve for x
    x = 17,598,661.56/6,440.08
  6. Step 6: Final answer
    x = 2,732.68

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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.