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Finding the Fourth Proportional to 11,761.42, 16,230.42 and 6,456.23

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Solution

The fourth proportional to 11,761.42, 16,230.42 and 6,456.23 is: 8,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.42 : 16,230.42 = 6,456.23 : x
  2. Step 2: Convert to fraction form
    11,761.42/16,230.42 = 6,456.23/x
  3. Step 3: Cross multiply
    11,761.42x = 16,230.42 × 6,456.23
  4. Step 4: Simplify right side
    11,761.42x = 104,787,324.52
  5. Step 5: Solve for x
    x = 104,787,324.52/11,761.42
  6. Step 6: Final answer
    x = 8,909.41

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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.