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Finding the Fourth Proportional to 11,786.32, 16,264.14 and 6,481.48

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Solution

The fourth proportional to 11,786.32, 16,264.14 and 6,481.48 is: 8,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.32 : 16,264.14 = 6,481.48 : x
  2. Step 2: Convert to fraction form
    11,786.32/16,264.14 = 6,481.48/x
  3. Step 3: Cross multiply
    11,786.32x = 16,264.14 × 6,481.48
  4. Step 4: Simplify right side
    11,786.32x = 105,415,698.13
  5. Step 5: Solve for x
    x = 105,415,698.13/11,786.32
  6. Step 6: Final answer
    x = 8,943.90

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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.