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Finding the Fourth Proportional to 6,698.57, 10,046.48 and 2,537.14

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Solution

The fourth proportional to 6,698.57, 10,046.48 and 2,537.14 is: 3,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.57 : 10,046.48 = 2,537.14 : x
  2. Step 2: Convert to fraction form
    6,698.57/10,046.48 = 2,537.14/x
  3. Step 3: Cross multiply
    6,698.57x = 10,046.48 × 2,537.14
  4. Step 4: Simplify right side
    6,698.57x = 25,489,288.47
  5. Step 5: Solve for x
    x = 25,489,288.47/6,698.57
  6. Step 6: Final answer
    x = 3,805.19

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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.