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Finding the Fourth Proportional to 8,069, 12,103.50 and 2,597

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Solution

The fourth proportional to 8,069, 12,103.50 and 2,597 is: 3,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069 : 12,103.50 = 2,597 : x
  2. Step 2: Convert to fraction form
    8,069/12,103.50 = 2,597/x
  3. Step 3: Cross multiply
    8,069x = 12,103.50 × 2,597
  4. Step 4: Simplify right side
    8,069x = 31,432,789.50
  5. Step 5: Solve for x
    x = 31,432,789.50/8,069
  6. Step 6: Final answer
    x = 3,895.50

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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.