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Finding the Fourth Proportional to 9,965.44, 13,751.27 and 6,136.46

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Solution

The fourth proportional to 9,965.44, 13,751.27 and 6,136.46 is: 8,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.44 : 13,751.27 = 6,136.46 : x
  2. Step 2: Convert to fraction form
    9,965.44/13,751.27 = 6,136.46/x
  3. Step 3: Cross multiply
    9,965.44x = 13,751.27 × 6,136.46
  4. Step 4: Simplify right side
    9,965.44x = 84,384,205.31
  5. Step 5: Solve for x
    x = 84,384,205.31/9,965.44
  6. Step 6: Final answer
    x = 8,467.69

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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.