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Finding the Fourth Proportional to 6,801.81, 10,202.70 and 2,419.44

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Solution

The fourth proportional to 6,801.81, 10,202.70 and 2,419.44 is: 3,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.81 : 10,202.70 = 2,419.44 : x
  2. Step 2: Convert to fraction form
    6,801.81/10,202.70 = 2,419.44/x
  3. Step 3: Cross multiply
    6,801.81x = 10,202.70 × 2,419.44
  4. Step 4: Simplify right side
    6,801.81x = 24,684,820.49
  5. Step 5: Solve for x
    x = 24,684,820.49/6,801.81
  6. Step 6: Final answer
    x = 3,629.15

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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.