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Finding the Fourth Proportional to 6,227.70, 8,584.02 and 5,046.72

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Solution

The fourth proportional to 6,227.70, 8,584.02 and 5,046.72 is: 6,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.70 : 8,584.02 = 5,046.72 : x
  2. Step 2: Convert to fraction form
    6,227.70/8,584.02 = 5,046.72/x
  3. Step 3: Cross multiply
    6,227.70x = 8,584.02 × 5,046.72
  4. Step 4: Simplify right side
    6,227.70x = 43,321,145.41
  5. Step 5: Solve for x
    x = 43,321,145.41/6,227.70
  6. Step 6: Final answer
    x = 6,956.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.