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Finding the Fourth Proportional to 5,967.20, 8,944.32 and 2,069.48

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Solution

The fourth proportional to 5,967.20, 8,944.32 and 2,069.48 is: 3,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.20 : 8,944.32 = 2,069.48 : x
  2. Step 2: Convert to fraction form
    5,967.20/8,944.32 = 2,069.48/x
  3. Step 3: Cross multiply
    5,967.20x = 8,944.32 × 2,069.48
  4. Step 4: Simplify right side
    5,967.20x = 18,510,091.35
  5. Step 5: Solve for x
    x = 18,510,091.35/5,967.20
  6. Step 6: Final answer
    x = 3,101.97

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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.