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Finding the Fourth Proportional to 6,472.87, 9,709.31 and 2,774.81

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Solution

The fourth proportional to 6,472.87, 9,709.31 and 2,774.81 is: 4,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.87 : 9,709.31 = 2,774.81 : x
  2. Step 2: Convert to fraction form
    6,472.87/9,709.31 = 2,774.81/x
  3. Step 3: Cross multiply
    6,472.87x = 9,709.31 × 2,774.81
  4. Step 4: Simplify right side
    6,472.87x = 26,941,521.69
  5. Step 5: Solve for x
    x = 26,941,521.69/6,472.87
  6. Step 6: Final answer
    x = 4,162.22

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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.