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Finding the Fourth Proportional to 27,116.68, 40,676.48 and 8,409.64

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Solution

The fourth proportional to 27,116.68, 40,676.48 and 8,409.64 is: 12,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,116.68 : 40,676.48 = 8,409.64 : x
  2. Step 2: Convert to fraction form
    27,116.68/40,676.48 = 8,409.64/x
  3. Step 3: Cross multiply
    27,116.68x = 40,676.48 × 8,409.64
  4. Step 4: Simplify right side
    27,116.68x = 342,074,553.27
  5. Step 5: Solve for x
    x = 342,074,553.27/27,116.68
  6. Step 6: Final answer
    x = 12,614.91

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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.