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Finding the Fourth Proportional to 6,395.71, 9,593.70 and 2,013.16

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Solution

The fourth proportional to 6,395.71, 9,593.70 and 2,013.16 is: 3,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.71 : 9,593.70 = 2,013.16 : x
  2. Step 2: Convert to fraction form
    6,395.71/9,593.70 = 2,013.16/x
  3. Step 3: Cross multiply
    6,395.71x = 9,593.70 × 2,013.16
  4. Step 4: Simplify right side
    6,395.71x = 19,313,653.09
  5. Step 5: Solve for x
    x = 19,313,653.09/6,395.71
  6. Step 6: Final answer
    x = 3,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.