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Finding the Fourth Proportional to 12,199.34, 16,834.90 and 6,893.84

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Solution

The fourth proportional to 12,199.34, 16,834.90 and 6,893.84 is: 9,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.34 : 16,834.90 = 6,893.84 : x
  2. Step 2: Convert to fraction form
    12,199.34/16,834.90 = 6,893.84/x
  3. Step 3: Cross multiply
    12,199.34x = 16,834.90 × 6,893.84
  4. Step 4: Simplify right side
    12,199.34x = 116,057,107.02
  5. Step 5: Solve for x
    x = 116,057,107.02/12,199.34
  6. Step 6: Final answer
    x = 9,513.39

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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.