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Finding the Fourth Proportional to 10,136.74, 13,993.26 and 5,945.26

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Solution

The fourth proportional to 10,136.74, 13,993.26 and 5,945.26 is: 8,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.74 : 13,993.26 = 5,945.26 : x
  2. Step 2: Convert to fraction form
    10,136.74/13,993.26 = 5,945.26/x
  3. Step 3: Cross multiply
    10,136.74x = 13,993.26 × 5,945.26
  4. Step 4: Simplify right side
    10,136.74x = 83,193,568.95
  5. Step 5: Solve for x
    x = 83,193,568.95/10,136.74
  6. Step 6: Final answer
    x = 8,207.13

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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.