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Finding the Fourth Proportional to 11,588.74, 17,383.08 and 8,141.38

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Solution

The fourth proportional to 11,588.74, 17,383.08 and 8,141.38 is: 12,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.74 : 17,383.08 = 8,141.38 : x
  2. Step 2: Convert to fraction form
    11,588.74/17,383.08 = 8,141.38/x
  3. Step 3: Cross multiply
    11,588.74x = 17,383.08 × 8,141.38
  4. Step 4: Simplify right side
    11,588.74x = 141,522,259.85
  5. Step 5: Solve for x
    x = 141,522,259.85/11,588.74
  6. Step 6: Final answer
    x = 12,212.05

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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.