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Finding the Fourth Proportional to 5,246.44, 7,863.89 and 4,631.65

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Solution

The fourth proportional to 5,246.44, 7,863.89 and 4,631.65 is: 6,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.44 : 7,863.89 = 4,631.65 : x
  2. Step 2: Convert to fraction form
    5,246.44/7,863.89 = 4,631.65/x
  3. Step 3: Cross multiply
    5,246.44x = 7,863.89 × 4,631.65
  4. Step 4: Simplify right side
    5,246.44x = 36,422,743.30
  5. Step 5: Solve for x
    x = 36,422,743.30/5,246.44
  6. Step 6: Final answer
    x = 6,942.38

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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.