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Finding the Fourth Proportional to 11,692.88, 17,539.48 and 6,531.60

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Solution

The fourth proportional to 11,692.88, 17,539.48 and 6,531.60 is: 9,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.88 : 17,539.48 = 6,531.60 : x
  2. Step 2: Convert to fraction form
    11,692.88/17,539.48 = 6,531.60/x
  3. Step 3: Cross multiply
    11,692.88x = 17,539.48 × 6,531.60
  4. Step 4: Simplify right side
    11,692.88x = 114,560,867.57
  5. Step 5: Solve for x
    x = 114,560,867.57/11,692.88
  6. Step 6: Final answer
    x = 9,797.49

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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.