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Finding the Fourth Proportional to 6,811.44, 10,216.44 and 4,213.68

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Solution

The fourth proportional to 6,811.44, 10,216.44 and 4,213.68 is: 6,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.44 : 10,216.44 = 4,213.68 : x
  2. Step 2: Convert to fraction form
    6,811.44/10,216.44 = 4,213.68/x
  3. Step 3: Cross multiply
    6,811.44x = 10,216.44 × 4,213.68
  4. Step 4: Simplify right side
    6,811.44x = 43,048,808.90
  5. Step 5: Solve for x
    x = 43,048,808.90/6,811.44
  6. Step 6: Final answer
    x = 6,320.07

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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.