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Finding the Fourth Proportional to 27,885.60, 41,822.26 and 8,165.70

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Solution

The fourth proportional to 27,885.60, 41,822.26 and 8,165.70 is: 12,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.60 : 41,822.26 = 8,165.70 : x
  2. Step 2: Convert to fraction form
    27,885.60/41,822.26 = 8,165.70/x
  3. Step 3: Cross multiply
    27,885.60x = 41,822.26 × 8,165.70
  4. Step 4: Simplify right side
    27,885.60x = 341,507,932.03
  5. Step 5: Solve for x
    x = 341,507,932.03/27,885.60
  6. Step 6: Final answer
    x = 12,246.75

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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.