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Finding the Fourth Proportional to 6,491.21, 9,732.92 and 2,976.81

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Solution

The fourth proportional to 6,491.21, 9,732.92 and 2,976.81 is: 4,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.21 : 9,732.92 = 2,976.81 : x
  2. Step 2: Convert to fraction form
    6,491.21/9,732.92 = 2,976.81/x
  3. Step 3: Cross multiply
    6,491.21x = 9,732.92 × 2,976.81
  4. Step 4: Simplify right side
    6,491.21x = 28,973,096.17
  5. Step 5: Solve for x
    x = 28,973,096.17/6,491.21
  6. Step 6: Final answer
    x = 4,463.44

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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.