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Finding the Fourth Proportional to 12,692.82, 17,524.02 and 8,157.33

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Solution

The fourth proportional to 12,692.82, 17,524.02 and 8,157.33 is: 11,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.82 : 17,524.02 = 8,157.33 : x
  2. Step 2: Convert to fraction form
    12,692.82/17,524.02 = 8,157.33/x
  3. Step 3: Cross multiply
    12,692.82x = 17,524.02 × 8,157.33
  4. Step 4: Simplify right side
    12,692.82x = 142,949,214.07
  5. Step 5: Solve for x
    x = 142,949,214.07/12,692.82
  6. Step 6: Final answer
    x = 11,262.21

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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.