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Finding the Fourth Proportional to 11,644.68, 17,469 and 4,259.46

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Solution

The fourth proportional to 11,644.68, 17,469 and 4,259.46 is: 6,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.68 : 17,469 = 4,259.46 : x
  2. Step 2: Convert to fraction form
    11,644.68/17,469 = 4,259.46/x
  3. Step 3: Cross multiply
    11,644.68x = 17,469 × 4,259.46
  4. Step 4: Simplify right side
    11,644.68x = 74,408,506.74
  5. Step 5: Solve for x
    x = 74,408,506.74/11,644.68
  6. Step 6: Final answer
    x = 6,389.91

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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.