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Finding the Fourth Proportional to 6,574.26, 9,857.61 and 3,111.51

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Solution

The fourth proportional to 6,574.26, 9,857.61 and 3,111.51 is: 4,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.26 : 9,857.61 = 3,111.51 : x
  2. Step 2: Convert to fraction form
    6,574.26/9,857.61 = 3,111.51/x
  3. Step 3: Cross multiply
    6,574.26x = 9,857.61 × 3,111.51
  4. Step 4: Simplify right side
    6,574.26x = 30,672,052.09
  5. Step 5: Solve for x
    x = 30,672,052.09/6,574.26
  6. Step 6: Final answer
    x = 4,665.48

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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.