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Finding the Fourth Proportional to 30,627.96, 45,912.77 and 9,836.88

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Solution

The fourth proportional to 30,627.96, 45,912.77 and 9,836.88 is: 14,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.96 : 45,912.77 = 9,836.88 : x
  2. Step 2: Convert to fraction form
    30,627.96/45,912.77 = 9,836.88/x
  3. Step 3: Cross multiply
    30,627.96x = 45,912.77 × 9,836.88
  4. Step 4: Simplify right side
    30,627.96x = 451,638,408.96
  5. Step 5: Solve for x
    x = 451,638,408.96/30,627.96
  6. Step 6: Final answer
    x = 14,745.95

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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.