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Finding the Fourth Proportional to 6,065.46, 9,098.34 and 1,682.91

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Solution

The fourth proportional to 6,065.46, 9,098.34 and 1,682.91 is: 2,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.46 : 9,098.34 = 1,682.91 : x
  2. Step 2: Convert to fraction form
    6,065.46/9,098.34 = 1,682.91/x
  3. Step 3: Cross multiply
    6,065.46x = 9,098.34 × 1,682.91
  4. Step 4: Simplify right side
    6,065.46x = 15,311,687.37
  5. Step 5: Solve for x
    x = 15,311,687.37/6,065.46
  6. Step 6: Final answer
    x = 2,524.41

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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.