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Finding the Fourth Proportional to 16,563.71, 24,824.97 and 7,780.20

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Solution

The fourth proportional to 16,563.71, 24,824.97 and 7,780.20 is: 11,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.71 : 24,824.97 = 7,780.20 : x
  2. Step 2: Convert to fraction form
    16,563.71/24,824.97 = 7,780.20/x
  3. Step 3: Cross multiply
    16,563.71x = 24,824.97 × 7,780.20
  4. Step 4: Simplify right side
    16,563.71x = 193,143,231.59
  5. Step 5: Solve for x
    x = 193,143,231.59/16,563.71
  6. Step 6: Final answer
    x = 11,660.63

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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.