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Finding the Fourth Proportional to 16,536.84, 24,793.36 and 7,766.88

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Solution

The fourth proportional to 16,536.84, 24,793.36 and 7,766.88 is: 11,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.84 : 24,793.36 = 7,766.88 : x
  2. Step 2: Convert to fraction form
    16,536.84/24,793.36 = 7,766.88/x
  3. Step 3: Cross multiply
    16,536.84x = 24,793.36 × 7,766.88
  4. Step 4: Simplify right side
    16,536.84x = 192,567,051.92
  5. Step 5: Solve for x
    x = 192,567,051.92/16,536.84
  6. Step 6: Final answer
    x = 11,644.73

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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.