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Finding the Fourth Proportional to 11,770.50, 16,238.57 and 7,520.47

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Solution

The fourth proportional to 11,770.50, 16,238.57 and 7,520.47 is: 10,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.50 : 16,238.57 = 7,520.47 : x
  2. Step 2: Convert to fraction form
    11,770.50/16,238.57 = 7,520.47/x
  3. Step 3: Cross multiply
    11,770.50x = 16,238.57 × 7,520.47
  4. Step 4: Simplify right side
    11,770.50x = 122,121,678.53
  5. Step 5: Solve for x
    x = 122,121,678.53/11,770.50
  6. Step 6: Final answer
    x = 10,375.23

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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.