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Finding the Fourth Proportional to 8,165.94, 12,214.62 and 6,882.44

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Solution

The fourth proportional to 8,165.94, 12,214.62 and 6,882.44 is: 10,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.94 : 12,214.62 = 6,882.44 : x
  2. Step 2: Convert to fraction form
    8,165.94/12,214.62 = 6,882.44/x
  3. Step 3: Cross multiply
    8,165.94x = 12,214.62 × 6,882.44
  4. Step 4: Simplify right side
    8,165.94x = 84,066,450.62
  5. Step 5: Solve for x
    x = 84,066,450.62/8,165.94
  6. Step 6: Final answer
    x = 10,294.77

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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.