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Finding the Fourth Proportional to 11,697.66, 17,553.81 and 4,676.63

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Solution

The fourth proportional to 11,697.66, 17,553.81 and 4,676.63 is: 7,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.66 : 17,553.81 = 4,676.63 : x
  2. Step 2: Convert to fraction form
    11,697.66/17,553.81 = 4,676.63/x
  3. Step 3: Cross multiply
    11,697.66x = 17,553.81 × 4,676.63
  4. Step 4: Simplify right side
    11,697.66x = 82,092,586.69
  5. Step 5: Solve for x
    x = 82,092,586.69/11,697.66
  6. Step 6: Final answer
    x = 7,017.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.