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Finding the Fourth Proportional to 10,463.40, 15,695.64 and 3,067.56

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Solution

The fourth proportional to 10,463.40, 15,695.64 and 3,067.56 is: 4,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.40 : 15,695.64 = 3,067.56 : x
  2. Step 2: Convert to fraction form
    10,463.40/15,695.64 = 3,067.56/x
  3. Step 3: Cross multiply
    10,463.40x = 15,695.64 × 3,067.56
  4. Step 4: Simplify right side
    10,463.40x = 48,147,317.44
  5. Step 5: Solve for x
    x = 48,147,317.44/10,463.40
  6. Step 6: Final answer
    x = 4,601.50

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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.