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Finding the Fourth Proportional to 7,074.36, 10,609.32 and 2,393.50

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Solution

The fourth proportional to 7,074.36, 10,609.32 and 2,393.50 is: 3,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.36 : 10,609.32 = 2,393.50 : x
  2. Step 2: Convert to fraction form
    7,074.36/10,609.32 = 2,393.50/x
  3. Step 3: Cross multiply
    7,074.36x = 10,609.32 × 2,393.50
  4. Step 4: Simplify right side
    7,074.36x = 25,393,380.90
  5. Step 5: Solve for x
    x = 25,393,380.90/7,074.36
  6. Step 6: Final answer
    x = 3,589.50

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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.