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Finding the Fourth Proportional to 16,384.67, 22,610.81 and 9,311.09

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Solution

The fourth proportional to 16,384.67, 22,610.81 and 9,311.09 is: 12,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.67 : 22,610.81 = 9,311.09 : x
  2. Step 2: Convert to fraction form
    16,384.67/22,610.81 = 9,311.09/x
  3. Step 3: Cross multiply
    16,384.67x = 22,610.81 × 9,311.09
  4. Step 4: Simplify right side
    16,384.67x = 210,531,366.69
  5. Step 5: Solve for x
    x = 210,531,366.69/16,384.67
  6. Step 6: Final answer
    x = 12,849.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.