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Finding the Fourth Proportional to 11,761.77, 16,231.22 and 6,456.47

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Solution

The fourth proportional to 11,761.77, 16,231.22 and 6,456.47 is: 8,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.77 : 16,231.22 = 6,456.47 : x
  2. Step 2: Convert to fraction form
    11,761.77/16,231.22 = 6,456.47/x
  3. Step 3: Cross multiply
    11,761.77x = 16,231.22 × 6,456.47
  4. Step 4: Simplify right side
    11,761.77x = 104,796,352.71
  5. Step 5: Solve for x
    x = 104,796,352.71/11,761.77
  6. Step 6: Final answer
    x = 8,909.91

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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.