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Finding the Fourth Proportional to 16,057, 22,172.34 and 10,098.64

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Solution

The fourth proportional to 16,057, 22,172.34 and 10,098.64 is: 13,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057 : 22,172.34 = 10,098.64 : x
  2. Step 2: Convert to fraction form
    16,057/22,172.34 = 10,098.64/x
  3. Step 3: Cross multiply
    16,057x = 22,172.34 × 10,098.64
  4. Step 4: Simplify right side
    16,057x = 223,910,479.62
  5. Step 5: Solve for x
    x = 223,910,479.62/16,057
  6. Step 6: Final answer
    x = 13,944.73

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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.