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Finding the Fourth Proportional to 11,833, 17,756.34 and 6,568.72

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Solution

The fourth proportional to 11,833, 17,756.34 and 6,568.72 is: 9,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833 : 17,756.34 = 6,568.72 : x
  2. Step 2: Convert to fraction form
    11,833/17,756.34 = 6,568.72/x
  3. Step 3: Cross multiply
    11,833x = 17,756.34 × 6,568.72
  4. Step 4: Simplify right side
    11,833x = 116,636,425.68
  5. Step 5: Solve for x
    x = 116,636,425.68/11,833
  6. Step 6: Final answer
    x = 9,856.88

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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.