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Finding the Fourth Proportional to 6,462.87, 9,695.22 and 2,079.30

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Solution

The fourth proportional to 6,462.87, 9,695.22 and 2,079.30 is: 3,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.87 : 9,695.22 = 2,079.30 : x
  2. Step 2: Convert to fraction form
    6,462.87/9,695.22 = 2,079.30/x
  3. Step 3: Cross multiply
    6,462.87x = 9,695.22 × 2,079.30
  4. Step 4: Simplify right side
    6,462.87x = 20,159,299.51
  5. Step 5: Solve for x
    x = 20,159,299.51/6,462.87
  6. Step 6: Final answer
    x = 3,119.25

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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.