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Finding the Fourth Proportional to 4,895.81, 7,343.70 and 1,198.03

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Solution

The fourth proportional to 4,895.81, 7,343.70 and 1,198.03 is: 1,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.81 : 7,343.70 = 1,198.03 : x
  2. Step 2: Convert to fraction form
    4,895.81/7,343.70 = 1,198.03/x
  3. Step 3: Cross multiply
    4,895.81x = 7,343.70 × 1,198.03
  4. Step 4: Simplify right side
    4,895.81x = 8,797,954.55
  5. Step 5: Solve for x
    x = 8,797,954.55/4,895.81
  6. Step 6: Final answer
    x = 1,797.04

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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.