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Finding the Fourth Proportional to 11,604.69, 17,408.34 and 3,813.48

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Solution

The fourth proportional to 11,604.69, 17,408.34 and 3,813.48 is: 5,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.69 : 17,408.34 = 3,813.48 : x
  2. Step 2: Convert to fraction form
    11,604.69/17,408.34 = 3,813.48/x
  3. Step 3: Cross multiply
    11,604.69x = 17,408.34 × 3,813.48
  4. Step 4: Simplify right side
    11,604.69x = 66,386,356.42
  5. Step 5: Solve for x
    x = 66,386,356.42/11,604.69
  6. Step 6: Final answer
    x = 5,720.65

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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.