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Finding the Fourth Proportional to 5,930.97, 8,896.86 and 1,770.90

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Solution

The fourth proportional to 5,930.97, 8,896.86 and 1,770.90 is: 2,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.97 : 8,896.86 = 1,770.90 : x
  2. Step 2: Convert to fraction form
    5,930.97/8,896.86 = 1,770.90/x
  3. Step 3: Cross multiply
    5,930.97x = 8,896.86 × 1,770.90
  4. Step 4: Simplify right side
    5,930.97x = 15,755,449.37
  5. Step 5: Solve for x
    x = 15,755,449.37/5,930.97
  6. Step 6: Final answer
    x = 2,656.47

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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.