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Finding the Fourth Proportional to 8,233, 12,349.50 and 2,077

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Solution

The fourth proportional to 8,233, 12,349.50 and 2,077 is: 3,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233 : 12,349.50 = 2,077 : x
  2. Step 2: Convert to fraction form
    8,233/12,349.50 = 2,077/x
  3. Step 3: Cross multiply
    8,233x = 12,349.50 × 2,077
  4. Step 4: Simplify right side
    8,233x = 25,649,911.50
  5. Step 5: Solve for x
    x = 25,649,911.50/8,233
  6. Step 6: Final answer
    x = 3,115.50

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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.