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Finding the Fourth Proportional to 11,653.70, 16,082.09 and 6,348.56

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Solution

The fourth proportional to 11,653.70, 16,082.09 and 6,348.56 is: 8,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.70 : 16,082.09 = 6,348.56 : x
  2. Step 2: Convert to fraction form
    11,653.70/16,082.09 = 6,348.56/x
  3. Step 3: Cross multiply
    11,653.70x = 16,082.09 × 6,348.56
  4. Step 4: Simplify right side
    11,653.70x = 102,098,121.75
  5. Step 5: Solve for x
    x = 102,098,121.75/11,653.70
  6. Step 6: Final answer
    x = 8,761.00

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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.