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Finding the Fourth Proportional to 7,205.70, 10,806.96 and 2,275.68

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Solution

The fourth proportional to 7,205.70, 10,806.96 and 2,275.68 is: 3,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.70 : 10,806.96 = 2,275.68 : x
  2. Step 2: Convert to fraction form
    7,205.70/10,806.96 = 2,275.68/x
  3. Step 3: Cross multiply
    7,205.70x = 10,806.96 × 2,275.68
  4. Step 4: Simplify right side
    7,205.70x = 24,593,182.73
  5. Step 5: Solve for x
    x = 24,593,182.73/7,205.70
  6. Step 6: Final answer
    x = 3,413.02

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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.