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Finding the Fourth Proportional to 23,408.68, 35,105.72 and 7,822.68

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Solution

The fourth proportional to 23,408.68, 35,105.72 and 7,822.68 is: 11,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.68 : 35,105.72 = 7,822.68 : x
  2. Step 2: Convert to fraction form
    23,408.68/35,105.72 = 7,822.68/x
  3. Step 3: Cross multiply
    23,408.68x = 35,105.72 × 7,822.68
  4. Step 4: Simplify right side
    23,408.68x = 274,620,813.73
  5. Step 5: Solve for x
    x = 274,620,813.73/23,408.68
  6. Step 6: Final answer
    x = 11,731.58

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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.