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Finding the Fourth Proportional to 6,351.57, 9,525.82 and 1,908.30

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Solution

The fourth proportional to 6,351.57, 9,525.82 and 1,908.30 is: 2,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.57 : 9,525.82 = 1,908.30 : x
  2. Step 2: Convert to fraction form
    6,351.57/9,525.82 = 1,908.30/x
  3. Step 3: Cross multiply
    6,351.57x = 9,525.82 × 1,908.30
  4. Step 4: Simplify right side
    6,351.57x = 18,178,122.31
  5. Step 5: Solve for x
    x = 18,178,122.31/6,351.57
  6. Step 6: Final answer
    x = 2,861.99

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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.