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Finding the Fourth Proportional to 12,384, 18,576 and 4,176

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Solution

The fourth proportional to 12,384, 18,576 and 4,176 is: 6,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 18,576 = 4,176 : x
  2. Step 2: Convert to fraction form
    12,384/18,576 = 4,176/x
  3. Step 3: Cross multiply
    12,384x = 18,576 × 4,176
  4. Step 4: Simplify right side
    12,384x = 77,573,376
  5. Step 5: Solve for x
    x = 77,573,376/12,384
  6. Step 6: Final answer
    x = 6,264

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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.