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Finding the Fourth Proportional to 6,511.88, 9,763.18 and 3,047.24

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Solution

The fourth proportional to 6,511.88, 9,763.18 and 3,047.24 is: 4,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.88 : 9,763.18 = 3,047.24 : x
  2. Step 2: Convert to fraction form
    6,511.88/9,763.18 = 3,047.24/x
  3. Step 3: Cross multiply
    6,511.88x = 9,763.18 × 3,047.24
  4. Step 4: Simplify right side
    6,511.88x = 29,750,752.62
  5. Step 5: Solve for x
    x = 29,750,752.62/6,511.88
  6. Step 6: Final answer
    x = 4,568.69

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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.