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Finding the Fourth Proportional to 11,732.88, 16,185.96 and 6,762

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Solution

The fourth proportional to 11,732.88, 16,185.96 and 6,762 is: 9,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.88 : 16,185.96 = 6,762 : x
  2. Step 2: Convert to fraction form
    11,732.88/16,185.96 = 6,762/x
  3. Step 3: Cross multiply
    11,732.88x = 16,185.96 × 6,762
  4. Step 4: Simplify right side
    11,732.88x = 109,449,461.52
  5. Step 5: Solve for x
    x = 109,449,461.52/11,732.88
  6. Step 6: Final answer
    x = 9,328.44

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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.