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Finding the Fourth Proportional to 11,676.48, 17,396.72 and 11,119.20

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Solution

The fourth proportional to 11,676.48, 17,396.72 and 11,119.20 is: 16,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.48 : 17,396.72 = 11,119.20 : x
  2. Step 2: Convert to fraction form
    11,676.48/17,396.72 = 11,119.20/x
  3. Step 3: Cross multiply
    11,676.48x = 17,396.72 × 11,119.20
  4. Step 4: Simplify right side
    11,676.48x = 193,437,553.43
  5. Step 5: Solve for x
    x = 193,437,553.43/11,676.48
  6. Step 6: Final answer
    x = 16,566.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.