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Finding the Fourth Proportional to 6,532.92, 9,795.78 and 3,405.12

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Solution

The fourth proportional to 6,532.92, 9,795.78 and 3,405.12 is: 5,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.92 : 9,795.78 = 3,405.12 : x
  2. Step 2: Convert to fraction form
    6,532.92/9,795.78 = 3,405.12/x
  3. Step 3: Cross multiply
    6,532.92x = 9,795.78 × 3,405.12
  4. Step 4: Simplify right side
    6,532.92x = 33,355,806.39
  5. Step 5: Solve for x
    x = 33,355,806.39/6,532.92
  6. Step 6: Final answer
    x = 5,105.80

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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.