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Finding the Fourth Proportional to 11,614.88, 16,035.34 and 8,425.11

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Solution

The fourth proportional to 11,614.88, 16,035.34 and 8,425.11 is: 11,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.88 : 16,035.34 = 8,425.11 : x
  2. Step 2: Convert to fraction form
    11,614.88/16,035.34 = 8,425.11/x
  3. Step 3: Cross multiply
    11,614.88x = 16,035.34 × 8,425.11
  4. Step 4: Simplify right side
    11,614.88x = 135,099,581.95
  5. Step 5: Solve for x
    x = 135,099,581.95/11,614.88
  6. Step 6: Final answer
    x = 11,631.59

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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.