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Finding the Fourth Proportional to 13,833.70, 20,745.46 and 4,946.63

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Solution

The fourth proportional to 13,833.70, 20,745.46 and 4,946.63 is: 7,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.70 : 20,745.46 = 4,946.63 : x
  2. Step 2: Convert to fraction form
    13,833.70/20,745.46 = 4,946.63/x
  3. Step 3: Cross multiply
    13,833.70x = 20,745.46 × 4,946.63
  4. Step 4: Simplify right side
    13,833.70x = 102,620,114.80
  5. Step 5: Solve for x
    x = 102,620,114.80/13,833.70
  6. Step 6: Final answer
    x = 7,418.12

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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.