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Finding the Fourth Proportional to 12,770.97, 19,163.96 and 5,751.30

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Solution

The fourth proportional to 12,770.97, 19,163.96 and 5,751.30 is: 8,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.97 : 19,163.96 = 5,751.30 : x
  2. Step 2: Convert to fraction form
    12,770.97/19,163.96 = 5,751.30/x
  3. Step 3: Cross multiply
    12,770.97x = 19,163.96 × 5,751.30
  4. Step 4: Simplify right side
    12,770.97x = 110,217,654.39
  5. Step 5: Solve for x
    x = 110,217,654.39/12,770.97
  6. Step 6: Final answer
    x = 8,630.33

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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.