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Finding the Fourth Proportional to 6,443.35, 9,658.50 and 4,073.20

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Solution

The fourth proportional to 6,443.35, 9,658.50 and 4,073.20 is: 6,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.35 : 9,658.50 = 4,073.20 : x
  2. Step 2: Convert to fraction form
    6,443.35/9,658.50 = 4,073.20/x
  3. Step 3: Cross multiply
    6,443.35x = 9,658.50 × 4,073.20
  4. Step 4: Simplify right side
    6,443.35x = 39,341,002.20
  5. Step 5: Solve for x
    x = 39,341,002.20/6,443.35
  6. Step 6: Final answer
    x = 6,105.68

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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.