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Finding the Fourth Proportional to 10,692.67, 16,048.24 and 9,447.09

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Solution

The fourth proportional to 10,692.67, 16,048.24 and 9,447.09 is: 14,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.67 : 16,048.24 = 9,447.09 : x
  2. Step 2: Convert to fraction form
    10,692.67/16,048.24 = 9,447.09/x
  3. Step 3: Cross multiply
    10,692.67x = 16,048.24 × 9,447.09
  4. Step 4: Simplify right side
    10,692.67x = 151,609,120.39
  5. Step 5: Solve for x
    x = 151,609,120.39/10,692.67
  6. Step 6: Final answer
    x = 14,178.79

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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.