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Finding the Fourth Proportional to 6,408.49, 9,609.64 and 2,247.93

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Solution

The fourth proportional to 6,408.49, 9,609.64 and 2,247.93 is: 3,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.49 : 9,609.64 = 2,247.93 : x
  2. Step 2: Convert to fraction form
    6,408.49/9,609.64 = 2,247.93/x
  3. Step 3: Cross multiply
    6,408.49x = 9,609.64 × 2,247.93
  4. Step 4: Simplify right side
    6,408.49x = 21,601,798.05
  5. Step 5: Solve for x
    x = 21,601,798.05/6,408.49
  6. Step 6: Final answer
    x = 3,370.81

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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.