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Finding the Fourth Proportional to 8,103.98, 12,134.94 and 6,941.44

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Solution

The fourth proportional to 8,103.98, 12,134.94 and 6,941.44 is: 10,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.98 : 12,134.94 = 6,941.44 : x
  2. Step 2: Convert to fraction form
    8,103.98/12,134.94 = 6,941.44/x
  3. Step 3: Cross multiply
    8,103.98x = 12,134.94 × 6,941.44
  4. Step 4: Simplify right side
    8,103.98x = 84,233,923.21
  5. Step 5: Solve for x
    x = 84,233,923.21/8,103.98
  6. Step 6: Final answer
    x = 10,394.14

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1.5x scale

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.