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Finding the Fourth Proportional to 5,879.74, 8,114.01 and 3,227.10

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Solution

The fourth proportional to 5,879.74, 8,114.01 and 3,227.10 is: 4,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.74 : 8,114.01 = 3,227.10 : x
  2. Step 2: Convert to fraction form
    5,879.74/8,114.01 = 3,227.10/x
  3. Step 3: Cross multiply
    5,879.74x = 8,114.01 × 3,227.10
  4. Step 4: Simplify right side
    5,879.74x = 26,184,721.67
  5. Step 5: Solve for x
    x = 26,184,721.67/5,879.74
  6. Step 6: Final answer
    x = 4,453.38

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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.