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Finding the Fourth Proportional to 5,150.75, 7,726.12 and 1,863.08

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Solution

The fourth proportional to 5,150.75, 7,726.12 and 1,863.08 is: 2,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.75 : 7,726.12 = 1,863.08 : x
  2. Step 2: Convert to fraction form
    5,150.75/7,726.12 = 1,863.08/x
  3. Step 3: Cross multiply
    5,150.75x = 7,726.12 × 1,863.08
  4. Step 4: Simplify right side
    5,150.75x = 14,394,339.85
  5. Step 5: Solve for x
    x = 14,394,339.85/5,150.75
  6. Step 6: Final answer
    x = 2,794.61

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Half scale
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Double scale
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Similar ratio
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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.