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Finding the Fourth Proportional to 8,309.94, 12,464.92 and 5,704.98

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Solution

The fourth proportional to 8,309.94, 12,464.92 and 5,704.98 is: 8,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.94 : 12,464.92 = 5,704.98 : x
  2. Step 2: Convert to fraction form
    8,309.94/12,464.92 = 5,704.98/x
  3. Step 3: Cross multiply
    8,309.94x = 12,464.92 × 5,704.98
  4. Step 4: Simplify right side
    8,309.94x = 71,112,119.30
  5. Step 5: Solve for x
    x = 71,112,119.30/8,309.94
  6. Step 6: Final answer
    x = 8,557.48

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Similar ratio
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1.5x scale

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.