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Finding the Fourth Proportional to 11,696.64, 17,550.42 and 6,770.42

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Solution

The fourth proportional to 11,696.64, 17,550.42 and 6,770.42 is: 10,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.64 : 17,550.42 = 6,770.42 : x
  2. Step 2: Convert to fraction form
    11,696.64/17,550.42 = 6,770.42/x
  3. Step 3: Cross multiply
    11,696.64x = 17,550.42 × 6,770.42
  4. Step 4: Simplify right side
    11,696.64x = 118,823,705.33
  5. Step 5: Solve for x
    x = 118,823,705.33/11,696.64
  6. Step 6: Final answer
    x = 10,158.79

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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.