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Finding the Fourth Proportional to 6,797.44, 9,392.64 and 5,309.12

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Solution

The fourth proportional to 6,797.44, 9,392.64 and 5,309.12 is: 7,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.44 : 9,392.64 = 5,309.12 : x
  2. Step 2: Convert to fraction form
    6,797.44/9,392.64 = 5,309.12/x
  3. Step 3: Cross multiply
    6,797.44x = 9,392.64 × 5,309.12
  4. Step 4: Simplify right side
    6,797.44x = 49,866,652.88
  5. Step 5: Solve for x
    x = 49,866,652.88/6,797.44
  6. Step 6: Final answer
    x = 7,336.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.