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Finding the Fourth Proportional to 6,149.76, 9,224.70 and 1,767.25

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Solution

The fourth proportional to 6,149.76, 9,224.70 and 1,767.25 is: 2,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.76 : 9,224.70 = 1,767.25 : x
  2. Step 2: Convert to fraction form
    6,149.76/9,224.70 = 1,767.25/x
  3. Step 3: Cross multiply
    6,149.76x = 9,224.70 × 1,767.25
  4. Step 4: Simplify right side
    6,149.76x = 16,302,351.08
  5. Step 5: Solve for x
    x = 16,302,351.08/6,149.76
  6. Step 6: Final answer
    x = 2,650.89

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Half scale
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Double scale
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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.