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Finding the Fourth Proportional to 8,225, 12,337.56 and 2,069

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Solution

The fourth proportional to 8,225, 12,337.56 and 2,069 is: 3,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225 : 12,337.56 = 2,069 : x
  2. Step 2: Convert to fraction form
    8,225/12,337.56 = 2,069/x
  3. Step 3: Cross multiply
    8,225x = 12,337.56 × 2,069
  4. Step 4: Simplify right side
    8,225x = 25,526,411.64
  5. Step 5: Solve for x
    x = 25,526,411.64/8,225
  6. Step 6: Final answer
    x = 3,103.52

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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.