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Finding the Fourth Proportional to 16,163, 22,305.30 and 9,878.84

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Solution

The fourth proportional to 16,163, 22,305.30 and 9,878.84 is: 13,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163 : 22,305.30 = 9,878.84 : x
  2. Step 2: Convert to fraction form
    16,163/22,305.30 = 9,878.84/x
  3. Step 3: Cross multiply
    16,163x = 22,305.30 × 9,878.84
  4. Step 4: Simplify right side
    16,163x = 220,350,489.85
  5. Step 5: Solve for x
    x = 220,350,489.85/16,163
  6. Step 6: Final answer
    x = 13,633.02

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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.