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Finding the Fourth Proportional to 12,282, 16,949.16 and 6,693

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Solution

The fourth proportional to 12,282, 16,949.16 and 6,693 is: 9,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282 : 16,949.16 = 6,693 : x
  2. Step 2: Convert to fraction form
    12,282/16,949.16 = 6,693/x
  3. Step 3: Cross multiply
    12,282x = 16,949.16 × 6,693
  4. Step 4: Simplify right side
    12,282x = 113,440,727.88
  5. Step 5: Solve for x
    x = 113,440,727.88/12,282
  6. Step 6: Final answer
    x = 9,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.