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Finding the Fourth Proportional to 6,491.76, 9,731.07 and 2,984.28

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Solution

The fourth proportional to 6,491.76, 9,731.07 and 2,984.28 is: 4,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.76 : 9,731.07 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    6,491.76/9,731.07 = 2,984.28/x
  3. Step 3: Cross multiply
    6,491.76x = 9,731.07 × 2,984.28
  4. Step 4: Simplify right side
    6,491.76x = 29,040,237.58
  5. Step 5: Solve for x
    x = 29,040,237.58/6,491.76
  6. Step 6: Final answer
    x = 4,473.40

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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.