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Finding the Fourth Proportional to 27,887.16, 41,827.68 and 8,165.91

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Solution

The fourth proportional to 27,887.16, 41,827.68 and 8,165.91 is: 12,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.16 : 41,827.68 = 8,165.91 : x
  2. Step 2: Convert to fraction form
    27,887.16/41,827.68 = 8,165.91/x
  3. Step 3: Cross multiply
    27,887.16x = 41,827.68 × 8,165.91
  4. Step 4: Simplify right side
    27,887.16x = 341,561,070.39
  5. Step 5: Solve for x
    x = 341,561,070.39/27,887.16
  6. Step 6: Final answer
    x = 12,247.97

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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.