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Finding the Fourth Proportional to 5,294.97, 7,942.52 and 1,399.34

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Solution

The fourth proportional to 5,294.97, 7,942.52 and 1,399.34 is: 2,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.97 : 7,942.52 = 1,399.34 : x
  2. Step 2: Convert to fraction form
    5,294.97/7,942.52 = 1,399.34/x
  3. Step 3: Cross multiply
    5,294.97x = 7,942.52 × 1,399.34
  4. Step 4: Simplify right side
    5,294.97x = 11,114,309.29
  5. Step 5: Solve for x
    x = 11,114,309.29/5,294.97
  6. Step 6: Final answer
    x = 2,099.03

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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.