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Finding the Fourth Proportional to 11,692.14, 16,129.53 and 8,500.48

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Solution

The fourth proportional to 11,692.14, 16,129.53 and 8,500.48 is: 11,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.14 : 16,129.53 = 8,500.48 : x
  2. Step 2: Convert to fraction form
    11,692.14/16,129.53 = 8,500.48/x
  3. Step 3: Cross multiply
    11,692.14x = 16,129.53 × 8,500.48
  4. Step 4: Simplify right side
    11,692.14x = 137,108,747.17
  5. Step 5: Solve for x
    x = 137,108,747.17/11,692.14
  6. Step 6: Final answer
    x = 11,726.57

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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.