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Finding the Fourth Proportional to 6,998.34, 10,486.92 and 4,221.92

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Solution

The fourth proportional to 6,998.34, 10,486.92 and 4,221.92 is: 6,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.34 : 10,486.92 = 4,221.92 : x
  2. Step 2: Convert to fraction form
    6,998.34/10,486.92 = 4,221.92/x
  3. Step 3: Cross multiply
    6,998.34x = 10,486.92 × 4,221.92
  4. Step 4: Simplify right side
    6,998.34x = 44,274,937.29
  5. Step 5: Solve for x
    x = 44,274,937.29/6,998.34
  6. Step 6: Final answer
    x = 6,326.49

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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.