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Finding the Fourth Proportional to 12,000.97, 16,558.68 and 6,962.27

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Solution

The fourth proportional to 12,000.97, 16,558.68 and 6,962.27 is: 9,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.97 : 16,558.68 = 6,962.27 : x
  2. Step 2: Convert to fraction form
    12,000.97/16,558.68 = 6,962.27/x
  3. Step 3: Cross multiply
    12,000.97x = 16,558.68 × 6,962.27
  4. Step 4: Simplify right side
    12,000.97x = 115,285,905.16
  5. Step 5: Solve for x
    x = 115,285,905.16/12,000.97
  6. Step 6: Final answer
    x = 9,606.39

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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.