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Finding the Fourth Proportional to 16,449, 22,700.10 and 8,997.48

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Solution

The fourth proportional to 16,449, 22,700.10 and 8,997.48 is: 12,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449 : 22,700.10 = 8,997.48 : x
  2. Step 2: Convert to fraction form
    16,449/22,700.10 = 8,997.48/x
  3. Step 3: Cross multiply
    16,449x = 22,700.10 × 8,997.48
  4. Step 4: Simplify right side
    16,449x = 204,243,695.75
  5. Step 5: Solve for x
    x = 204,243,695.75/16,449
  6. Step 6: Final answer
    x = 12,416.78

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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.