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Finding the Fourth Proportional to 10,906.88, 15,054.20 and 6,194

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Solution

The fourth proportional to 10,906.88, 15,054.20 and 6,194 is: 8,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.88 : 15,054.20 = 6,194 : x
  2. Step 2: Convert to fraction form
    10,906.88/15,054.20 = 6,194/x
  3. Step 3: Cross multiply
    10,906.88x = 15,054.20 × 6,194
  4. Step 4: Simplify right side
    10,906.88x = 93,245,714.80
  5. Step 5: Solve for x
    x = 93,245,714.80/10,906.88
  6. Step 6: Final answer
    x = 8,549.26

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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.