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Finding the Fourth Proportional to 7,074.50, 9,763.13 and 3,930.70

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Solution

The fourth proportional to 7,074.50, 9,763.13 and 3,930.70 is: 5,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.50 : 9,763.13 = 3,930.70 : x
  2. Step 2: Convert to fraction form
    7,074.50/9,763.13 = 3,930.70/x
  3. Step 3: Cross multiply
    7,074.50x = 9,763.13 × 3,930.70
  4. Step 4: Simplify right side
    7,074.50x = 38,375,935.09
  5. Step 5: Solve for x
    x = 38,375,935.09/7,074.50
  6. Step 6: Final answer
    x = 5,424.54

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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.