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Finding the Fourth Proportional to 16,634.72, 24,952.02 and 6,771.80

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Solution

The fourth proportional to 16,634.72, 24,952.02 and 6,771.80 is: 10,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.72 : 24,952.02 = 6,771.80 : x
  2. Step 2: Convert to fraction form
    16,634.72/24,952.02 = 6,771.80/x
  3. Step 3: Cross multiply
    16,634.72x = 24,952.02 × 6,771.80
  4. Step 4: Simplify right side
    16,634.72x = 168,970,089.04
  5. Step 5: Solve for x
    x = 168,970,089.04/16,634.72
  6. Step 6: Final answer
    x = 10,157.68

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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.