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Finding the Fourth Proportional to 6,136.64, 8,467.64 and 3,447.34

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Solution

The fourth proportional to 6,136.64, 8,467.64 and 3,447.34 is: 4,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.64 : 8,467.64 = 3,447.34 : x
  2. Step 2: Convert to fraction form
    6,136.64/8,467.64 = 3,447.34/x
  3. Step 3: Cross multiply
    6,136.64x = 8,467.64 × 3,447.34
  4. Step 4: Simplify right side
    6,136.64x = 29,190,834.08
  5. Step 5: Solve for x
    x = 29,190,834.08/6,136.64
  6. Step 6: Final answer
    x = 4,756.81

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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.