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Finding the Fourth Proportional to 6,498.34, 9,745.76 and 1,818.05

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Solution

The fourth proportional to 6,498.34, 9,745.76 and 1,818.05 is: 2,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.34 : 9,745.76 = 1,818.05 : x
  2. Step 2: Convert to fraction form
    6,498.34/9,745.76 = 1,818.05/x
  3. Step 3: Cross multiply
    6,498.34x = 9,745.76 × 1,818.05
  4. Step 4: Simplify right side
    6,498.34x = 17,718,234.78
  5. Step 5: Solve for x
    x = 17,718,234.78/6,498.34
  6. Step 6: Final answer
    x = 2,726.58

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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.