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Finding the Fourth Proportional to 5,971.38, 8,954.28 and 3,197.40

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Solution

The fourth proportional to 5,971.38, 8,954.28 and 3,197.40 is: 4,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.38 : 8,954.28 = 3,197.40 : x
  2. Step 2: Convert to fraction form
    5,971.38/8,954.28 = 3,197.40/x
  3. Step 3: Cross multiply
    5,971.38x = 8,954.28 × 3,197.40
  4. Step 4: Simplify right side
    5,971.38x = 28,630,414.87
  5. Step 5: Solve for x
    x = 28,630,414.87/5,971.38
  6. Step 6: Final answer
    x = 4,794.61

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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.