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Finding the Fourth Proportional to 6,013, 9,019.64 and 2,064.25

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Solution

The fourth proportional to 6,013, 9,019.64 and 2,064.25 is: 3,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013 : 9,019.64 = 2,064.25 : x
  2. Step 2: Convert to fraction form
    6,013/9,019.64 = 2,064.25/x
  3. Step 3: Cross multiply
    6,013x = 9,019.64 × 2,064.25
  4. Step 4: Simplify right side
    6,013x = 18,618,781.55
  5. Step 5: Solve for x
    x = 18,618,781.55/6,013
  6. Step 6: Final answer
    x = 3,096.42

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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.