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Finding the Fourth Proportional to 10,198.24, 15,302.93 and 3,958.50

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Solution

The fourth proportional to 10,198.24, 15,302.93 and 3,958.50 is: 5,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.24 : 15,302.93 = 3,958.50 : x
  2. Step 2: Convert to fraction form
    10,198.24/15,302.93 = 3,958.50/x
  3. Step 3: Cross multiply
    10,198.24x = 15,302.93 × 3,958.50
  4. Step 4: Simplify right side
    10,198.24x = 60,576,648.41
  5. Step 5: Solve for x
    x = 60,576,648.41/10,198.24
  6. Step 6: Final answer
    x = 5,939.91

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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.