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Finding the Fourth Proportional to 9,692.88, 13,372.72 and 6,337.64

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Solution

The fourth proportional to 9,692.88, 13,372.72 and 6,337.64 is: 8,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.88 : 13,372.72 = 6,337.64 : x
  2. Step 2: Convert to fraction form
    9,692.88/13,372.72 = 6,337.64/x
  3. Step 3: Cross multiply
    9,692.88x = 13,372.72 × 6,337.64
  4. Step 4: Simplify right side
    9,692.88x = 84,751,485.18
  5. Step 5: Solve for x
    x = 84,751,485.18/9,692.88
  6. Step 6: Final answer
    x = 8,743.68

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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.