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Finding the Fourth Proportional to 14,161.92, 19,536.84 and 8,494.08

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Solution

The fourth proportional to 14,161.92, 19,536.84 and 8,494.08 is: 11,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.92 : 19,536.84 = 8,494.08 : x
  2. Step 2: Convert to fraction form
    14,161.92/19,536.84 = 8,494.08/x
  3. Step 3: Cross multiply
    14,161.92x = 19,536.84 × 8,494.08
  4. Step 4: Simplify right side
    14,161.92x = 165,947,481.91
  5. Step 5: Solve for x
    x = 165,947,481.91/14,161.92
  6. Step 6: Final answer
    x = 11,717.87

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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.