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Finding the Fourth Proportional to 6,098.22, 9,146.27 and 1,714.65

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Solution

The fourth proportional to 6,098.22, 9,146.27 and 1,714.65 is: 2,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.22 : 9,146.27 = 1,714.65 : x
  2. Step 2: Convert to fraction form
    6,098.22/9,146.27 = 1,714.65/x
  3. Step 3: Cross multiply
    6,098.22x = 9,146.27 × 1,714.65
  4. Step 4: Simplify right side
    6,098.22x = 15,682,643.28
  5. Step 5: Solve for x
    x = 15,682,643.28/6,098.22
  6. Step 6: Final answer
    x = 2,571.68

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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.