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Finding the Fourth Proportional to 11,546.92, 17,276.06 and 6,618.92

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Solution

The fourth proportional to 11,546.92, 17,276.06 and 6,618.92 is: 9,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.92 : 17,276.06 = 6,618.92 : x
  2. Step 2: Convert to fraction form
    11,546.92/17,276.06 = 6,618.92/x
  3. Step 3: Cross multiply
    11,546.92x = 17,276.06 × 6,618.92
  4. Step 4: Simplify right side
    11,546.92x = 114,348,859.06
  5. Step 5: Solve for x
    x = 114,348,859.06/11,546.92
  6. Step 6: Final answer
    x = 9,902.97

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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.