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Finding the Fourth Proportional to 16,149.88, 22,282.86 and 9,859.96

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Solution

The fourth proportional to 16,149.88, 22,282.86 and 9,859.96 is: 13,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.88 : 22,282.86 = 9,859.96 : x
  2. Step 2: Convert to fraction form
    16,149.88/22,282.86 = 9,859.96/x
  3. Step 3: Cross multiply
    16,149.88x = 22,282.86 × 9,859.96
  4. Step 4: Simplify right side
    16,149.88x = 219,708,108.29
  5. Step 5: Solve for x
    x = 219,708,108.29/16,149.88
  6. Step 6: Final answer
    x = 13,604.32

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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.