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Finding the Fourth Proportional to 10,696.62, 14,765.39 and 9,575.54

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Solution

The fourth proportional to 10,696.62, 14,765.39 and 9,575.54 is: 13,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.62 : 14,765.39 = 9,575.54 : x
  2. Step 2: Convert to fraction form
    10,696.62/14,765.39 = 9,575.54/x
  3. Step 3: Cross multiply
    10,696.62x = 14,765.39 × 9,575.54
  4. Step 4: Simplify right side
    10,696.62x = 141,386,582.56
  5. Step 5: Solve for x
    x = 141,386,582.56/10,696.62
  6. Step 6: Final answer
    x = 13,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.