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Finding the Fourth Proportional to 6,401.55, 9,603.68 and 2,019

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Solution

The fourth proportional to 6,401.55, 9,603.68 and 2,019 is: 3,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.55 : 9,603.68 = 2,019 : x
  2. Step 2: Convert to fraction form
    6,401.55/9,603.68 = 2,019/x
  3. Step 3: Cross multiply
    6,401.55x = 9,603.68 × 2,019
  4. Step 4: Simplify right side
    6,401.55x = 19,389,819.83
  5. Step 5: Solve for x
    x = 19,389,819.83/6,401.55
  6. Step 6: Final answer
    x = 3,028.93

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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.