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Finding the Fourth Proportional to 13,735.88, 20,599.72 and 7,494.73

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Solution

The fourth proportional to 13,735.88, 20,599.72 and 7,494.73 is: 11,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.88 : 20,599.72 = 7,494.73 : x
  2. Step 2: Convert to fraction form
    13,735.88/20,599.72 = 7,494.73/x
  3. Step 3: Cross multiply
    13,735.88x = 20,599.72 × 7,494.73
  4. Step 4: Simplify right side
    13,735.88x = 154,389,269.24
  5. Step 5: Solve for x
    x = 154,389,269.24/13,735.88
  6. Step 6: Final answer
    x = 11,239.85

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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.