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Finding the Fourth Proportional to 16,384, 24,576 and 5,440

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Solution

The fourth proportional to 16,384, 24,576 and 5,440 is: 8,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384 : 24,576 = 5,440 : x
  2. Step 2: Convert to fraction form
    16,384/24,576 = 5,440/x
  3. Step 3: Cross multiply
    16,384x = 24,576 × 5,440
  4. Step 4: Simplify right side
    16,384x = 133,693,440
  5. Step 5: Solve for x
    x = 133,693,440/16,384
  6. Step 6: Final answer
    x = 8,160

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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.