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Finding the Fourth Proportional to 9,604.97, 14,404.11 and 3,364.84

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Solution

The fourth proportional to 9,604.97, 14,404.11 and 3,364.84 is: 5,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.97 : 14,404.11 = 3,364.84 : x
  2. Step 2: Convert to fraction form
    9,604.97/14,404.11 = 3,364.84/x
  3. Step 3: Cross multiply
    9,604.97x = 14,404.11 × 3,364.84
  4. Step 4: Simplify right side
    9,604.97x = 48,467,525.49
  5. Step 5: Solve for x
    x = 48,467,525.49/9,604.97
  6. Step 6: Final answer
    x = 5,046.09

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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.