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Finding the Fourth Proportional to 9,834.13, 14,745.73 and 3,256.73

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Solution

The fourth proportional to 9,834.13, 14,745.73 and 3,256.73 is: 4,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.13 : 14,745.73 = 3,256.73 : x
  2. Step 2: Convert to fraction form
    9,834.13/14,745.73 = 3,256.73/x
  3. Step 3: Cross multiply
    9,834.13x = 14,745.73 × 3,256.73
  4. Step 4: Simplify right side
    9,834.13x = 48,022,861.26
  5. Step 5: Solve for x
    x = 48,022,861.26/9,834.13
  6. Step 6: Final answer
    x = 4,883.29

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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.