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Finding the Fourth Proportional to 11,958.96, 16,502.16 and 6,654

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Solution

The fourth proportional to 11,958.96, 16,502.16 and 6,654 is: 9,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.96 : 16,502.16 = 6,654 : x
  2. Step 2: Convert to fraction form
    11,958.96/16,502.16 = 6,654/x
  3. Step 3: Cross multiply
    11,958.96x = 16,502.16 × 6,654
  4. Step 4: Simplify right side
    11,958.96x = 109,805,372.64
  5. Step 5: Solve for x
    x = 109,805,372.64/11,958.96
  6. Step 6: Final answer
    x = 9,181.85

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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.