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Finding the Fourth Proportional to 10,635.87, 15,956.64 and 9,473.82

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Solution

The fourth proportional to 10,635.87, 15,956.64 and 9,473.82 is: 14,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.87 : 15,956.64 = 9,473.82 : x
  2. Step 2: Convert to fraction form
    10,635.87/15,956.64 = 9,473.82/x
  3. Step 3: Cross multiply
    10,635.87x = 15,956.64 × 9,473.82
  4. Step 4: Simplify right side
    10,635.87x = 151,170,335.16
  5. Step 5: Solve for x
    x = 151,170,335.16/10,635.87
  6. Step 6: Final answer
    x = 14,213.26

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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.