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Finding the Fourth Proportional to 11,487.50, 17,236.14 and 6,490.56

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Solution

The fourth proportional to 11,487.50, 17,236.14 and 6,490.56 is: 9,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.50 : 17,236.14 = 6,490.56 : x
  2. Step 2: Convert to fraction form
    11,487.50/17,236.14 = 6,490.56/x
  3. Step 3: Cross multiply
    11,487.50x = 17,236.14 × 6,490.56
  4. Step 4: Simplify right side
    11,487.50x = 111,872,132.21
  5. Step 5: Solve for x
    x = 111,872,132.21/11,487.50
  6. Step 6: Final answer
    x = 9,738.60

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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.