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Finding the Fourth Proportional to 6,340.68, 9,504.54 and 3,051

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Solution

The fourth proportional to 6,340.68, 9,504.54 and 3,051 is: 4,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.68 : 9,504.54 = 3,051 : x
  2. Step 2: Convert to fraction form
    6,340.68/9,504.54 = 3,051/x
  3. Step 3: Cross multiply
    6,340.68x = 9,504.54 × 3,051
  4. Step 4: Simplify right side
    6,340.68x = 28,998,351.54
  5. Step 5: Solve for x
    x = 28,998,351.54/6,340.68
  6. Step 6: Final answer
    x = 4,573.38

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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.