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Finding the Fourth Proportional to 11,715.84, 16,174.08 and 8,182.08

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Solution

The fourth proportional to 11,715.84, 16,174.08 and 8,182.08 is: 11,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.84 : 16,174.08 = 8,182.08 : x
  2. Step 2: Convert to fraction form
    11,715.84/16,174.08 = 8,182.08/x
  3. Step 3: Cross multiply
    11,715.84x = 16,174.08 × 8,182.08
  4. Step 4: Simplify right side
    11,715.84x = 132,337,616.49
  5. Step 5: Solve for x
    x = 132,337,616.49/11,715.84
  6. Step 6: Final answer
    x = 11,295.61

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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.