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Finding the Fourth Proportional to 11,564, 17,353.68 and 4,268

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Solution

The fourth proportional to 11,564, 17,353.68 and 4,268 is: 6,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564 : 17,353.68 = 4,268 : x
  2. Step 2: Convert to fraction form
    11,564/17,353.68 = 4,268/x
  3. Step 3: Cross multiply
    11,564x = 17,353.68 × 4,268
  4. Step 4: Simplify right side
    11,564x = 74,065,506.24
  5. Step 5: Solve for x
    x = 74,065,506.24/11,564
  6. Step 6: Final answer
    x = 6,404.83

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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.