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Finding the Fourth Proportional to 10,469.50, 15,704.12 and 3,073.69

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Solution

The fourth proportional to 10,469.50, 15,704.12 and 3,073.69 is: 4,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.50 : 15,704.12 = 3,073.69 : x
  2. Step 2: Convert to fraction form
    10,469.50/15,704.12 = 3,073.69/x
  3. Step 3: Cross multiply
    10,469.50x = 15,704.12 × 3,073.69
  4. Step 4: Simplify right side
    10,469.50x = 48,269,647.60
  5. Step 5: Solve for x
    x = 48,269,647.60/10,469.50
  6. Step 6: Final answer
    x = 4,610.50

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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.