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Finding the Fourth Proportional to 5,976.93, 8,964.19 and 5,680.54

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Solution

The fourth proportional to 5,976.93, 8,964.19 and 5,680.54 is: 8,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.93 : 8,964.19 = 5,680.54 : x
  2. Step 2: Convert to fraction form
    5,976.93/8,964.19 = 5,680.54/x
  3. Step 3: Cross multiply
    5,976.93x = 8,964.19 × 5,680.54
  4. Step 4: Simplify right side
    5,976.93x = 50,921,439.86
  5. Step 5: Solve for x
    x = 50,921,439.86/5,976.93
  6. Step 6: Final answer
    x = 8,519.66

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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.