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Finding the Fourth Proportional to 11,758.70, 17,638.13 and 2,993.60

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Solution

The fourth proportional to 11,758.70, 17,638.13 and 2,993.60 is: 4,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.70 : 17,638.13 = 2,993.60 : x
  2. Step 2: Convert to fraction form
    11,758.70/17,638.13 = 2,993.60/x
  3. Step 3: Cross multiply
    11,758.70x = 17,638.13 × 2,993.60
  4. Step 4: Simplify right side
    11,758.70x = 52,801,425.26
  5. Step 5: Solve for x
    x = 52,801,425.26/11,758.70
  6. Step 6: Final answer
    x = 4,490.42

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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.