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Finding the Fourth Proportional to 9,794.20, 14,691.30 and 9,736.60

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Solution

The fourth proportional to 9,794.20, 14,691.30 and 9,736.60 is: 14,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.20 : 14,691.30 = 9,736.60 : x
  2. Step 2: Convert to fraction form
    9,794.20/14,691.30 = 9,736.60/x
  3. Step 3: Cross multiply
    9,794.20x = 14,691.30 × 9,736.60
  4. Step 4: Simplify right side
    9,794.20x = 143,043,311.58
  5. Step 5: Solve for x
    x = 143,043,311.58/9,794.20
  6. Step 6: Final answer
    x = 14,604.90

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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.