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Finding the Fourth Proportional to 6,351.68, 8,764.49 and 3,663

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Solution

The fourth proportional to 6,351.68, 8,764.49 and 3,663 is: 5,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.68 : 8,764.49 = 3,663 : x
  2. Step 2: Convert to fraction form
    6,351.68/8,764.49 = 3,663/x
  3. Step 3: Cross multiply
    6,351.68x = 8,764.49 × 3,663
  4. Step 4: Simplify right side
    6,351.68x = 32,104,326.87
  5. Step 5: Solve for x
    x = 32,104,326.87/6,351.68
  6. Step 6: Final answer
    x = 5,054.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.