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Finding the Fourth Proportional to 6,794.64, 10,201.32 and 3,510

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Solution

The fourth proportional to 6,794.64, 10,201.32 and 3,510 is: 5,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.64 : 10,201.32 = 3,510 : x
  2. Step 2: Convert to fraction form
    6,794.64/10,201.32 = 3,510/x
  3. Step 3: Cross multiply
    6,794.64x = 10,201.32 × 3,510
  4. Step 4: Simplify right side
    6,794.64x = 35,806,633.20
  5. Step 5: Solve for x
    x = 35,806,633.20/6,794.64
  6. Step 6: Final answer
    x = 5,269.84

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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.