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Finding the Fourth Proportional to 11,757.96, 17,636.94 and 3,972.24

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Solution

The fourth proportional to 11,757.96, 17,636.94 and 3,972.24 is: 5,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.96 : 17,636.94 = 3,972.24 : x
  2. Step 2: Convert to fraction form
    11,757.96/17,636.94 = 3,972.24/x
  3. Step 3: Cross multiply
    11,757.96x = 17,636.94 × 3,972.24
  4. Step 4: Simplify right side
    11,757.96x = 70,058,158.55
  5. Step 5: Solve for x
    x = 70,058,158.55/11,757.96
  6. Step 6: Final answer
    x = 5,958.36

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1.5x scale

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.