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Finding the Fourth Proportional to 11,772.59, 17,638.12 and 6,213.68

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Solution

The fourth proportional to 11,772.59, 17,638.12 and 6,213.68 is: 9,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.59 : 17,638.12 = 6,213.68 : x
  2. Step 2: Convert to fraction form
    11,772.59/17,638.12 = 6,213.68/x
  3. Step 3: Cross multiply
    11,772.59x = 17,638.12 × 6,213.68
  4. Step 4: Simplify right side
    11,772.59x = 109,597,633.48
  5. Step 5: Solve for x
    x = 109,597,633.48/11,772.59
  6. Step 6: Final answer
    x = 9,309.56

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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.