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Finding the Fourth Proportional to 7,074.57, 9,763.32 and 3,930.73

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Solution

The fourth proportional to 7,074.57, 9,763.32 and 3,930.73 is: 5,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.57 : 9,763.32 = 3,930.73 : x
  2. Step 2: Convert to fraction form
    7,074.57/9,763.32 = 3,930.73/x
  3. Step 3: Cross multiply
    7,074.57x = 9,763.32 × 3,930.73
  4. Step 4: Simplify right side
    7,074.57x = 38,376,974.82
  5. Step 5: Solve for x
    x = 38,376,974.82/7,074.57
  6. Step 6: Final answer
    x = 5,424.64

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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.