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Finding the Fourth Proportional to 9,806.62, 14,697.78 and 4,601.56

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Solution

The fourth proportional to 9,806.62, 14,697.78 and 4,601.56 is: 6,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.62 : 14,697.78 = 4,601.56 : x
  2. Step 2: Convert to fraction form
    9,806.62/14,697.78 = 4,601.56/x
  3. Step 3: Cross multiply
    9,806.62x = 14,697.78 × 4,601.56
  4. Step 4: Simplify right side
    9,806.62x = 67,632,716.54
  5. Step 5: Solve for x
    x = 67,632,716.54/9,806.62
  6. Step 6: Final answer
    x = 6,896.64

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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.