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Finding the Fourth Proportional to 12,176.50, 16,792.44 and 7,692.44

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Solution

The fourth proportional to 12,176.50, 16,792.44 and 7,692.44 is: 10,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.50 : 16,792.44 = 7,692.44 : x
  2. Step 2: Convert to fraction form
    12,176.50/16,792.44 = 7,692.44/x
  3. Step 3: Cross multiply
    12,176.50x = 16,792.44 × 7,692.44
  4. Step 4: Simplify right side
    12,176.50x = 129,174,837.15
  5. Step 5: Solve for x
    x = 129,174,837.15/12,176.50
  6. Step 6: Final answer
    x = 10,608.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.