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Finding the Fourth Proportional to 6,493.40, 9,749.10 and 4,167.80

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Solution

The fourth proportional to 6,493.40, 9,749.10 and 4,167.80 is: 6,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.40 : 9,749.10 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    6,493.40/9,749.10 = 4,167.80/x
  3. Step 3: Cross multiply
    6,493.40x = 9,749.10 × 4,167.80
  4. Step 4: Simplify right side
    6,493.40x = 40,632,298.98
  5. Step 5: Solve for x
    x = 40,632,298.98/6,493.40
  6. Step 6: Final answer
    x = 6,257.48

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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.