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Finding the Fourth Proportional to 10,462.62, 15,695.58 and 3,535.50

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Solution

The fourth proportional to 10,462.62, 15,695.58 and 3,535.50 is: 5,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.62 : 15,695.58 = 3,535.50 : x
  2. Step 2: Convert to fraction form
    10,462.62/15,695.58 = 3,535.50/x
  3. Step 3: Cross multiply
    10,462.62x = 15,695.58 × 3,535.50
  4. Step 4: Simplify right side
    10,462.62x = 55,491,723.09
  5. Step 5: Solve for x
    x = 55,491,723.09/10,462.62
  6. Step 6: Final answer
    x = 5,303.81

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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.