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Finding the Fourth Proportional to 7,606.48, 11,408.16 and 3,446.56

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Solution

The fourth proportional to 7,606.48, 11,408.16 and 3,446.56 is: 5,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.48 : 11,408.16 = 3,446.56 : x
  2. Step 2: Convert to fraction form
    7,606.48/11,408.16 = 3,446.56/x
  3. Step 3: Cross multiply
    7,606.48x = 11,408.16 × 3,446.56
  4. Step 4: Simplify right side
    7,606.48x = 39,318,907.93
  5. Step 5: Solve for x
    x = 39,318,907.93/7,606.48
  6. Step 6: Final answer
    x = 5,169.13

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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.