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Finding the Fourth Proportional to 11,902.92, 16,426.04 and 6,597.80

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Solution

The fourth proportional to 11,902.92, 16,426.04 and 6,597.80 is: 9,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.92 : 16,426.04 = 6,597.80 : x
  2. Step 2: Convert to fraction form
    11,902.92/16,426.04 = 6,597.80/x
  3. Step 3: Cross multiply
    11,902.92x = 16,426.04 × 6,597.80
  4. Step 4: Simplify right side
    11,902.92x = 108,375,726.71
  5. Step 5: Solve for x
    x = 108,375,726.71/11,902.92
  6. Step 6: Final answer
    x = 9,104.97

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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.