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Finding the Fourth Proportional to 6,401.44, 9,607.44 and 4,949.44

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Solution

The fourth proportional to 6,401.44, 9,607.44 and 4,949.44 is: 7,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.44 : 9,607.44 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    6,401.44/9,607.44 = 4,949.44/x
  3. Step 3: Cross multiply
    6,401.44x = 9,607.44 × 4,949.44
  4. Step 4: Simplify right side
    6,401.44x = 47,551,447.83
  5. Step 5: Solve for x
    x = 47,551,447.83/6,401.44
  6. Step 6: Final answer
    x = 7,428.24

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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.