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Finding the Fourth Proportional to 11,958.53, 16,502.52 and 6,922.97

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Solution

The fourth proportional to 11,958.53, 16,502.52 and 6,922.97 is: 9,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.53 : 16,502.52 = 6,922.97 : x
  2. Step 2: Convert to fraction form
    11,958.53/16,502.52 = 6,922.97/x
  3. Step 3: Cross multiply
    11,958.53x = 16,502.52 × 6,922.97
  4. Step 4: Simplify right side
    11,958.53x = 114,246,333.76
  5. Step 5: Solve for x
    x = 114,246,333.76/11,958.53
  6. Step 6: Final answer
    x = 9,553.54

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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.