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Finding the Fourth Proportional to 16,384, 22,609.92 and 8,932.48

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Solution

The fourth proportional to 16,384, 22,609.92 and 8,932.48 is: 12,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384 : 22,609.92 = 8,932.48 : x
  2. Step 2: Convert to fraction form
    16,384/22,609.92 = 8,932.48/x
  3. Step 3: Cross multiply
    16,384x = 22,609.92 × 8,932.48
  4. Step 4: Simplify right side
    16,384x = 201,962,658.20
  5. Step 5: Solve for x
    x = 201,962,658.20/16,384
  6. Step 6: Final answer
    x = 12,326.82

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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.