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Finding the Fourth Proportional to 6,942.05, 9,580.16 and 3,798.44

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Solution

The fourth proportional to 6,942.05, 9,580.16 and 3,798.44 is: 5,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.05 : 9,580.16 = 3,798.44 : x
  2. Step 2: Convert to fraction form
    6,942.05/9,580.16 = 3,798.44/x
  3. Step 3: Cross multiply
    6,942.05x = 9,580.16 × 3,798.44
  4. Step 4: Simplify right side
    6,942.05x = 36,389,662.95
  5. Step 5: Solve for x
    x = 36,389,662.95/6,942.05
  6. Step 6: Final answer
    x = 5,241.92

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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.