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Finding the Fourth Proportional to 9,604.90, 14,408.31 and 3,447.46

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Solution

The fourth proportional to 9,604.90, 14,408.31 and 3,447.46 is: 5,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.90 : 14,408.31 = 3,447.46 : x
  2. Step 2: Convert to fraction form
    9,604.90/14,408.31 = 3,447.46/x
  3. Step 3: Cross multiply
    9,604.90x = 14,408.31 × 3,447.46
  4. Step 4: Simplify right side
    9,604.90x = 49,672,072.39
  5. Step 5: Solve for x
    x = 49,672,072.39/9,604.90
  6. Step 6: Final answer
    x = 5,171.53

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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.