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Finding the Fourth Proportional to 11,650.50, 17,475.87 and 6,467.28

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Solution

The fourth proportional to 11,650.50, 17,475.87 and 6,467.28 is: 9,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.50 : 17,475.87 = 6,467.28 : x
  2. Step 2: Convert to fraction form
    11,650.50/17,475.87 = 6,467.28/x
  3. Step 3: Cross multiply
    11,650.50x = 17,475.87 × 6,467.28
  4. Step 4: Simplify right side
    11,650.50x = 113,021,344.53
  5. Step 5: Solve for x
    x = 113,021,344.53/11,650.50
  6. Step 6: Final answer
    x = 9,700.99

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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.