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Finding the Fourth Proportional to 6,297.14, 9,433.37 and 4,829.10

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Solution

The fourth proportional to 6,297.14, 9,433.37 and 4,829.10 is: 7,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.14 : 9,433.37 = 4,829.10 : x
  2. Step 2: Convert to fraction form
    6,297.14/9,433.37 = 4,829.10/x
  3. Step 3: Cross multiply
    6,297.14x = 9,433.37 × 4,829.10
  4. Step 4: Simplify right side
    6,297.14x = 45,554,662.92
  5. Step 5: Solve for x
    x = 45,554,662.92/6,297.14
  6. Step 6: Final answer
    x = 7,234.19

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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.