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Finding the Fourth Proportional to 4,662.98, 6,983.71 and 4,247.79

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Solution

The fourth proportional to 4,662.98, 6,983.71 and 4,247.79 is: 6,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.98 : 6,983.71 = 4,247.79 : x
  2. Step 2: Convert to fraction form
    4,662.98/6,983.71 = 4,247.79/x
  3. Step 3: Cross multiply
    4,662.98x = 6,983.71 × 4,247.79
  4. Step 4: Simplify right side
    4,662.98x = 29,665,330.00
  5. Step 5: Solve for x
    x = 29,665,330.00/4,662.98
  6. Step 6: Final answer
    x = 6,361.88

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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.