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Finding the Fourth Proportional to 9,692.64, 13,375.44 and 5,713.92

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Solution

The fourth proportional to 9,692.64, 13,375.44 and 5,713.92 is: 7,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.64 : 13,375.44 = 5,713.92 : x
  2. Step 2: Convert to fraction form
    9,692.64/13,375.44 = 5,713.92/x
  3. Step 3: Cross multiply
    9,692.64x = 13,375.44 × 5,713.92
  4. Step 4: Simplify right side
    9,692.64x = 76,426,194.12
  5. Step 5: Solve for x
    x = 76,426,194.12/9,692.64
  6. Step 6: Final answer
    x = 7,884.97

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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.