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Finding the Fourth Proportional to 6,493.54, 9,738.10 and 2,109.91

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Solution

The fourth proportional to 6,493.54, 9,738.10 and 2,109.91 is: 3,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.54 : 9,738.10 = 2,109.91 : x
  2. Step 2: Convert to fraction form
    6,493.54/9,738.10 = 2,109.91/x
  3. Step 3: Cross multiply
    6,493.54x = 9,738.10 × 2,109.91
  4. Step 4: Simplify right side
    6,493.54x = 20,546,514.57
  5. Step 5: Solve for x
    x = 20,546,514.57/6,493.54
  6. Step 6: Final answer
    x = 3,164.15

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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.