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Finding the Fourth Proportional to 6,611.76, 9,922.50 and 3,692.52

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Solution

The fourth proportional to 6,611.76, 9,922.50 and 3,692.52 is: 5,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.76 : 9,922.50 = 3,692.52 : x
  2. Step 2: Convert to fraction form
    6,611.76/9,922.50 = 3,692.52/x
  3. Step 3: Cross multiply
    6,611.76x = 9,922.50 × 3,692.52
  4. Step 4: Simplify right side
    6,611.76x = 36,639,029.70
  5. Step 5: Solve for x
    x = 36,639,029.70/6,611.76
  6. Step 6: Final answer
    x = 5,541.49

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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.