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Finding the Fourth Proportional to 4,633.56, 6,951.11 and 1,512.66

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Solution

The fourth proportional to 4,633.56, 6,951.11 and 1,512.66 is: 2,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.56 : 6,951.11 = 1,512.66 : x
  2. Step 2: Convert to fraction form
    4,633.56/6,951.11 = 1,512.66/x
  3. Step 3: Cross multiply
    4,633.56x = 6,951.11 × 1,512.66
  4. Step 4: Simplify right side
    4,633.56x = 10,514,658.49
  5. Step 5: Solve for x
    x = 10,514,658.49/4,633.56
  6. Step 6: Final answer
    x = 2,269.24

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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.