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Finding the Fourth Proportional to 11,198.70, 16,796.70 and 4,624.07

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Solution

The fourth proportional to 11,198.70, 16,796.70 and 4,624.07 is: 6,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.70 : 16,796.70 = 4,624.07 : x
  2. Step 2: Convert to fraction form
    11,198.70/16,796.70 = 4,624.07/x
  3. Step 3: Cross multiply
    11,198.70x = 16,796.70 × 4,624.07
  4. Step 4: Simplify right side
    11,198.70x = 77,669,032.59
  5. Step 5: Solve for x
    x = 77,669,032.59/11,198.70
  6. Step 6: Final answer
    x = 6,935.54

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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.