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Finding the Fourth Proportional to 11,846.66, 17,732.72 and 8,127.14

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Solution

The fourth proportional to 11,846.66, 17,732.72 and 8,127.14 is: 12,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.66 : 17,732.72 = 8,127.14 : x
  2. Step 2: Convert to fraction form
    11,846.66/17,732.72 = 8,127.14/x
  3. Step 3: Cross multiply
    11,846.66x = 17,732.72 × 8,127.14
  4. Step 4: Simplify right side
    11,846.66x = 144,116,229.68
  5. Step 5: Solve for x
    x = 144,116,229.68/11,846.66
  6. Step 6: Final answer
    x = 12,165.14

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1.5x scale

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.