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Finding the Fourth Proportional to 16,384.56, 22,610.64 and 8,932.56

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Solution

The fourth proportional to 16,384.56, 22,610.64 and 8,932.56 is: 12,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.56 : 22,610.64 = 8,932.56 : x
  2. Step 2: Convert to fraction form
    16,384.56/22,610.64 = 8,932.56/x
  3. Step 3: Cross multiply
    16,384.56x = 22,610.64 × 8,932.56
  4. Step 4: Simplify right side
    16,384.56x = 201,970,898.44
  5. Step 5: Solve for x
    x = 201,970,898.44/16,384.56
  6. Step 6: Final answer
    x = 12,326.90

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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.