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Finding the Fourth Proportional to 4,311.38, 5,949.71 and 2,448.38

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Solution

The fourth proportional to 4,311.38, 5,949.71 and 2,448.38 is: 3,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.38 : 5,949.71 = 2,448.38 : x
  2. Step 2: Convert to fraction form
    4,311.38/5,949.71 = 2,448.38/x
  3. Step 3: Cross multiply
    4,311.38x = 5,949.71 × 2,448.38
  4. Step 4: Simplify right side
    4,311.38x = 14,567,108.98
  5. Step 5: Solve for x
    x = 14,567,108.98/4,311.38
  6. Step 6: Final answer
    x = 3,378.76

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Half scale
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Double scale
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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.