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Finding the Fourth Proportional to 11,952.42, 16,495.02 and 6,647.73

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Solution

The fourth proportional to 11,952.42, 16,495.02 and 6,647.73 is: 9,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.42 : 16,495.02 = 6,647.73 : x
  2. Step 2: Convert to fraction form
    11,952.42/16,495.02 = 6,647.73/x
  3. Step 3: Cross multiply
    11,952.42x = 16,495.02 × 6,647.73
  4. Step 4: Simplify right side
    11,952.42x = 109,654,439.30
  5. Step 5: Solve for x
    x = 109,654,439.30/11,952.42
  6. Step 6: Final answer
    x = 9,174.25

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1.5x scale

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.