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Finding the Fourth Proportional to 9,796.19, 14,696.10 and 3,226.97

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Solution

The fourth proportional to 9,796.19, 14,696.10 and 3,226.97 is: 4,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.19 : 14,696.10 = 3,226.97 : x
  2. Step 2: Convert to fraction form
    9,796.19/14,696.10 = 3,226.97/x
  3. Step 3: Cross multiply
    9,796.19x = 14,696.10 × 3,226.97
  4. Step 4: Simplify right side
    9,796.19x = 47,423,910.56
  5. Step 5: Solve for x
    x = 47,423,910.56/9,796.19
  6. Step 6: Final answer
    x = 4,841.06

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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.