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Finding the Fourth Proportional to 8,412.97, 11,525.83 and 8,097.68

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Solution

The fourth proportional to 8,412.97, 11,525.83 and 8,097.68 is: 11,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.97 : 11,525.83 = 8,097.68 : x
  2. Step 2: Convert to fraction form
    8,412.97/11,525.83 = 8,097.68/x
  3. Step 3: Cross multiply
    8,412.97x = 11,525.83 × 8,097.68
  4. Step 4: Simplify right side
    8,412.97x = 93,332,442.59
  5. Step 5: Solve for x
    x = 93,332,442.59/8,412.97
  6. Step 6: Final answer
    x = 11,093.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.