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Finding the Fourth Proportional to 8,138.06, 11,230.19 and 4,601.19

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Solution

The fourth proportional to 8,138.06, 11,230.19 and 4,601.19 is: 6,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.06 : 11,230.19 = 4,601.19 : x
  2. Step 2: Convert to fraction form
    8,138.06/11,230.19 = 4,601.19/x
  3. Step 3: Cross multiply
    8,138.06x = 11,230.19 × 4,601.19
  4. Step 4: Simplify right side
    8,138.06x = 51,672,237.93
  5. Step 5: Solve for x
    x = 51,672,237.93/8,138.06
  6. Step 6: Final answer
    x = 6,349.46

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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.