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Finding the Fourth Proportional to 6,494.34, 9,742.11 and 2,110.62

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Solution

The fourth proportional to 6,494.34, 9,742.11 and 2,110.62 is: 3,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.34 : 9,742.11 = 2,110.62 : x
  2. Step 2: Convert to fraction form
    6,494.34/9,742.11 = 2,110.62/x
  3. Step 3: Cross multiply
    6,494.34x = 9,742.11 × 2,110.62
  4. Step 4: Simplify right side
    6,494.34x = 20,561,892.21
  5. Step 5: Solve for x
    x = 20,561,892.21/6,494.34
  6. Step 6: Final answer
    x = 3,166.12

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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.