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Finding the Fourth Proportional to 6,698.66, 10,046.62 and 2,537.23

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Solution

The fourth proportional to 6,698.66, 10,046.62 and 2,537.23 is: 3,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.66 : 10,046.62 = 2,537.23 : x
  2. Step 2: Convert to fraction form
    6,698.66/10,046.62 = 2,537.23/x
  3. Step 3: Cross multiply
    6,698.66x = 10,046.62 × 2,537.23
  4. Step 4: Simplify right side
    6,698.66x = 25,490,568.28
  5. Step 5: Solve for x
    x = 25,490,568.28/6,698.66
  6. Step 6: Final answer
    x = 3,805.33

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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.