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Finding the Fourth Proportional to 5,968.67, 8,950.35 and 3,194.81

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Solution

The fourth proportional to 5,968.67, 8,950.35 and 3,194.81 is: 4,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.67 : 8,950.35 = 3,194.81 : x
  2. Step 2: Convert to fraction form
    5,968.67/8,950.35 = 3,194.81/x
  3. Step 3: Cross multiply
    5,968.67x = 8,950.35 × 3,194.81
  4. Step 4: Simplify right side
    5,968.67x = 28,594,667.68
  5. Step 5: Solve for x
    x = 28,594,667.68/5,968.67
  6. Step 6: Final answer
    x = 4,790.79

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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.