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Finding the Fourth Proportional to 7,692.94, 10,609.22 and 5,039.38

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Solution

The fourth proportional to 7,692.94, 10,609.22 and 5,039.38 is: 6,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.94 : 10,609.22 = 5,039.38 : x
  2. Step 2: Convert to fraction form
    7,692.94/10,609.22 = 5,039.38/x
  3. Step 3: Cross multiply
    7,692.94x = 10,609.22 × 5,039.38
  4. Step 4: Simplify right side
    7,692.94x = 53,463,891.08
  5. Step 5: Solve for x
    x = 53,463,891.08/7,692.94
  6. Step 6: Final answer
    x = 6,949.73

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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.