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Finding the Fourth Proportional to 6,511.08, 9,760.14 and 3,734.40

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Solution

The fourth proportional to 6,511.08, 9,760.14 and 3,734.40 is: 5,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.08 : 9,760.14 = 3,734.40 : x
  2. Step 2: Convert to fraction form
    6,511.08/9,760.14 = 3,734.40/x
  3. Step 3: Cross multiply
    6,511.08x = 9,760.14 × 3,734.40
  4. Step 4: Simplify right side
    6,511.08x = 36,448,266.82
  5. Step 5: Solve for x
    x = 36,448,266.82/6,511.08
  6. Step 6: Final answer
    x = 5,597.88

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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.