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Finding the Fourth Proportional to 6,163.64, 8,506.16 and 3,647.24

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Solution

The fourth proportional to 6,163.64, 8,506.16 and 3,647.24 is: 5,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.64 : 8,506.16 = 3,647.24 : x
  2. Step 2: Convert to fraction form
    6,163.64/8,506.16 = 3,647.24/x
  3. Step 3: Cross multiply
    6,163.64x = 8,506.16 × 3,647.24
  4. Step 4: Simplify right side
    6,163.64x = 31,024,007.00
  5. Step 5: Solve for x
    x = 31,024,007.00/6,163.64
  6. Step 6: Final answer
    x = 5,033.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.