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Finding the Fourth Proportional to 11,834, 17,757.84 and 6,569.72

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Solution

The fourth proportional to 11,834, 17,757.84 and 6,569.72 is: 9,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834 : 17,757.84 = 6,569.72 : x
  2. Step 2: Convert to fraction form
    11,834/17,757.84 = 6,569.72/x
  3. Step 3: Cross multiply
    11,834x = 17,757.84 × 6,569.72
  4. Step 4: Simplify right side
    11,834x = 116,664,036.60
  5. Step 5: Solve for x
    x = 116,664,036.60/11,834
  6. Step 6: Final answer
    x = 9,858.38

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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.