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Finding the Fourth Proportional to 6,498.24, 9,745.63 and 1,817.96

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Solution

The fourth proportional to 6,498.24, 9,745.63 and 1,817.96 is: 2,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.24 : 9,745.63 = 1,817.96 : x
  2. Step 2: Convert to fraction form
    6,498.24/9,745.63 = 1,817.96/x
  3. Step 3: Cross multiply
    6,498.24x = 9,745.63 × 1,817.96
  4. Step 4: Simplify right side
    6,498.24x = 17,717,136.61
  5. Step 5: Solve for x
    x = 17,717,136.61/6,498.24
  6. Step 6: Final answer
    x = 2,726.45

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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.