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Finding the Fourth Proportional to 6,393.05, 9,581.51 and 3,424.13

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Solution

The fourth proportional to 6,393.05, 9,581.51 and 3,424.13 is: 5,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.05 : 9,581.51 = 3,424.13 : x
  2. Step 2: Convert to fraction form
    6,393.05/9,581.51 = 3,424.13/x
  3. Step 3: Cross multiply
    6,393.05x = 9,581.51 × 3,424.13
  4. Step 4: Simplify right side
    6,393.05x = 32,808,296.49
  5. Step 5: Solve for x
    x = 32,808,296.49/6,393.05
  6. Step 6: Final answer
    x = 5,131.87

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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.