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Finding the Fourth Proportional to 6,480.44, 9,718.61 and 2,096.88

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Solution

The fourth proportional to 6,480.44, 9,718.61 and 2,096.88 is: 3,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.44 : 9,718.61 = 2,096.88 : x
  2. Step 2: Convert to fraction form
    6,480.44/9,718.61 = 2,096.88/x
  3. Step 3: Cross multiply
    6,480.44x = 9,718.61 × 2,096.88
  4. Step 4: Simplify right side
    6,480.44x = 20,378,758.94
  5. Step 5: Solve for x
    x = 20,378,758.94/6,480.44
  6. Step 6: Final answer
    x = 3,144.66

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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.