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Finding the Fourth Proportional to 8,692.44, 11,996.16 and 4,914.30

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Solution

The fourth proportional to 8,692.44, 11,996.16 and 4,914.30 is: 6,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.44 : 11,996.16 = 4,914.30 : x
  2. Step 2: Convert to fraction form
    8,692.44/11,996.16 = 4,914.30/x
  3. Step 3: Cross multiply
    8,692.44x = 11,996.16 × 4,914.30
  4. Step 4: Simplify right side
    8,692.44x = 58,952,729.09
  5. Step 5: Solve for x
    x = 58,952,729.09/8,692.44
  6. Step 6: Final answer
    x = 6,782.07

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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.