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Finding the Fourth Proportional to 4,661.72, 6,982.50 and 2,192.84

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Solution

The fourth proportional to 4,661.72, 6,982.50 and 2,192.84 is: 3,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.72 : 6,982.50 = 2,192.84 : x
  2. Step 2: Convert to fraction form
    4,661.72/6,982.50 = 2,192.84/x
  3. Step 3: Cross multiply
    4,661.72x = 6,982.50 × 2,192.84
  4. Step 4: Simplify right side
    4,661.72x = 15,311,505.30
  5. Step 5: Solve for x
    x = 15,311,505.30/4,661.72
  6. Step 6: Final answer
    x = 3,284.52

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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.