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Finding the Fourth Proportional to 16,553.94, 24,816.90 and 7,186.88

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Solution

The fourth proportional to 16,553.94, 24,816.90 and 7,186.88 is: 10,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.94 : 24,816.90 = 7,186.88 : x
  2. Step 2: Convert to fraction form
    16,553.94/24,816.90 = 7,186.88/x
  3. Step 3: Cross multiply
    16,553.94x = 24,816.90 × 7,186.88
  4. Step 4: Simplify right side
    16,553.94x = 178,355,991.24
  5. Step 5: Solve for x
    x = 178,355,991.24/16,553.94
  6. Step 6: Final answer
    x = 10,774.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.