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Finding the Fourth Proportional to 11,786, 16,265.06 and 6,481.20

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Solution

The fourth proportional to 11,786, 16,265.06 and 6,481.20 is: 8,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786 : 16,265.06 = 6,481.20 : x
  2. Step 2: Convert to fraction form
    11,786/16,265.06 = 6,481.20/x
  3. Step 3: Cross multiply
    11,786x = 16,265.06 × 6,481.20
  4. Step 4: Simplify right side
    11,786x = 105,417,106.87
  5. Step 5: Solve for x
    x = 105,417,106.87/11,786
  6. Step 6: Final answer
    x = 8,944.26

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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.