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Finding the Fourth Proportional to 7,182.84, 9,912.29 and 4,198.07

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Solution

The fourth proportional to 7,182.84, 9,912.29 and 4,198.07 is: 5,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.84 : 9,912.29 = 4,198.07 : x
  2. Step 2: Convert to fraction form
    7,182.84/9,912.29 = 4,198.07/x
  3. Step 3: Cross multiply
    7,182.84x = 9,912.29 × 4,198.07
  4. Step 4: Simplify right side
    7,182.84x = 41,612,487.28
  5. Step 5: Solve for x
    x = 41,612,487.28/7,182.84
  6. Step 6: Final answer
    x = 5,793.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.