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Finding the Fourth Proportional to 11,797.68, 17,687.52 and 7,641.84

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Solution

The fourth proportional to 11,797.68, 17,687.52 and 7,641.84 is: 11,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.68 : 17,687.52 = 7,641.84 : x
  2. Step 2: Convert to fraction form
    11,797.68/17,687.52 = 7,641.84/x
  3. Step 3: Cross multiply
    11,797.68x = 17,687.52 × 7,641.84
  4. Step 4: Simplify right side
    11,797.68x = 135,165,197.84
  5. Step 5: Solve for x
    x = 135,165,197.84/11,797.68
  6. Step 6: Final answer
    x = 11,456.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.