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Finding the Fourth Proportional to 7,692.96, 10,611.36 and 5,334.24

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Solution

The fourth proportional to 7,692.96, 10,611.36 and 5,334.24 is: 7,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.96 : 10,611.36 = 5,334.24 : x
  2. Step 2: Convert to fraction form
    7,692.96/10,611.36 = 5,334.24/x
  3. Step 3: Cross multiply
    7,692.96x = 10,611.36 × 5,334.24
  4. Step 4: Simplify right side
    7,692.96x = 56,603,540.97
  5. Step 5: Solve for x
    x = 56,603,540.97/7,692.96
  6. Step 6: Final answer
    x = 7,357.84

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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.