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Finding the Fourth Proportional to 11,768.20, 17,652.30 and 9,824.20

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Solution

The fourth proportional to 11,768.20, 17,652.30 and 9,824.20 is: 14,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.20 : 17,652.30 = 9,824.20 : x
  2. Step 2: Convert to fraction form
    11,768.20/17,652.30 = 9,824.20/x
  3. Step 3: Cross multiply
    11,768.20x = 17,652.30 × 9,824.20
  4. Step 4: Simplify right side
    11,768.20x = 173,419,725.66
  5. Step 5: Solve for x
    x = 173,419,725.66/11,768.20
  6. Step 6: Final answer
    x = 14,736.30

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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.