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Finding the Fourth Proportional to 16,552.98, 24,835.14 and 7,788.78

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Solution

The fourth proportional to 16,552.98, 24,835.14 and 7,788.78 is: 11,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.98 : 24,835.14 = 7,788.78 : x
  2. Step 2: Convert to fraction form
    16,552.98/24,835.14 = 7,788.78/x
  3. Step 3: Cross multiply
    16,552.98x = 24,835.14 × 7,788.78
  4. Step 4: Simplify right side
    16,552.98x = 193,435,441.73
  5. Step 5: Solve for x
    x = 193,435,441.73/16,552.98
  6. Step 6: Final answer
    x = 11,685.84

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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.