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Finding the Fourth Proportional to 6,149.87, 9,224.74 and 1,767.32

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Solution

The fourth proportional to 6,149.87, 9,224.74 and 1,767.32 is: 2,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.87 : 9,224.74 = 1,767.32 : x
  2. Step 2: Convert to fraction form
    6,149.87/9,224.74 = 1,767.32/x
  3. Step 3: Cross multiply
    6,149.87x = 9,224.74 × 1,767.32
  4. Step 4: Simplify right side
    6,149.87x = 16,303,048.23
  5. Step 5: Solve for x
    x = 16,303,048.23/6,149.87
  6. Step 6: Final answer
    x = 2,650.96

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1.5x scale

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.