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Finding the Fourth Proportional to 10,914.03, 15,060.78 and 6,198

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Solution

The fourth proportional to 10,914.03, 15,060.78 and 6,198 is: 8,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.03 : 15,060.78 = 6,198 : x
  2. Step 2: Convert to fraction form
    10,914.03/15,060.78 = 6,198/x
  3. Step 3: Cross multiply
    10,914.03x = 15,060.78 × 6,198
  4. Step 4: Simplify right side
    10,914.03x = 93,346,714.44
  5. Step 5: Solve for x
    x = 93,346,714.44/10,914.03
  6. Step 6: Final answer
    x = 8,552.91

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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.