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Finding the Fourth Proportional to 11,649.24, 17,481 and 4,627.98

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Solution

The fourth proportional to 11,649.24, 17,481 and 4,627.98 is: 6,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.24 : 17,481 = 4,627.98 : x
  2. Step 2: Convert to fraction form
    11,649.24/17,481 = 4,627.98/x
  3. Step 3: Cross multiply
    11,649.24x = 17,481 × 4,627.98
  4. Step 4: Simplify right side
    11,649.24x = 80,901,718.38
  5. Step 5: Solve for x
    x = 80,901,718.38/11,649.24
  6. Step 6: Final answer
    x = 6,944.81

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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.