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Finding the Fourth Proportional to 6,487.78, 9,733.09 and 2,105.68

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Solution

The fourth proportional to 6,487.78, 9,733.09 and 2,105.68 is: 3,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.78 : 9,733.09 = 2,105.68 : x
  2. Step 2: Convert to fraction form
    6,487.78/9,733.09 = 2,105.68/x
  3. Step 3: Cross multiply
    6,487.78x = 9,733.09 × 2,105.68
  4. Step 4: Simplify right side
    6,487.78x = 20,494,743.35
  5. Step 5: Solve for x
    x = 20,494,743.35/6,487.78
  6. Step 6: Final answer
    x = 3,158.98

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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.