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Finding the Fourth Proportional to 23,611.57, 35,408.84 and 7,813.68

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Solution

The fourth proportional to 23,611.57, 35,408.84 and 7,813.68 is: 11,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.57 : 35,408.84 = 7,813.68 : x
  2. Step 2: Convert to fraction form
    23,611.57/35,408.84 = 7,813.68/x
  3. Step 3: Cross multiply
    23,611.57x = 35,408.84 × 7,813.68
  4. Step 4: Simplify right side
    23,611.57x = 276,673,167.89
  5. Step 5: Solve for x
    x = 276,673,167.89/23,611.57
  6. Step 6: Final answer
    x = 11,717.70

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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.