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Finding the Fourth Proportional to 6,738.66, 9,299.21 and 4,614.13

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Solution

The fourth proportional to 6,738.66, 9,299.21 and 4,614.13 is: 6,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.66 : 9,299.21 = 4,614.13 : x
  2. Step 2: Convert to fraction form
    6,738.66/9,299.21 = 4,614.13/x
  3. Step 3: Cross multiply
    6,738.66x = 9,299.21 × 4,614.13
  4. Step 4: Simplify right side
    6,738.66x = 42,907,752.39
  5. Step 5: Solve for x
    x = 42,907,752.39/6,738.66
  6. Step 6: Final answer
    x = 6,367.40

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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.