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Finding the Fourth Proportional to 7,161.84, 10,735.20 and 3,268.80

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Solution

The fourth proportional to 7,161.84, 10,735.20 and 3,268.80 is: 4,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 10,735.20 = 3,268.80 : x
  2. Step 2: Convert to fraction form
    7,161.84/10,735.20 = 3,268.80/x
  3. Step 3: Cross multiply
    7,161.84x = 10,735.20 × 3,268.80
  4. Step 4: Simplify right side
    7,161.84x = 35,091,221.76
  5. Step 5: Solve for x
    x = 35,091,221.76/7,161.84
  6. Step 6: Final answer
    x = 4,899.75

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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.