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Finding the Fourth Proportional to 8,194.75, 11,305.90 and 4,835.27

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Solution

The fourth proportional to 8,194.75, 11,305.90 and 4,835.27 is: 6,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.75 : 11,305.90 = 4,835.27 : x
  2. Step 2: Convert to fraction form
    8,194.75/11,305.90 = 4,835.27/x
  3. Step 3: Cross multiply
    8,194.75x = 11,305.90 × 4,835.27
  4. Step 4: Simplify right side
    8,194.75x = 54,667,079.09
  5. Step 5: Solve for x
    x = 54,667,079.09/8,194.75
  6. Step 6: Final answer
    x = 6,670.99

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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.