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Finding the Fourth Proportional to 5,834.63, 8,754.13 and 3,496.30

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Solution

The fourth proportional to 5,834.63, 8,754.13 and 3,496.30 is: 5,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.63 : 8,754.13 = 3,496.30 : x
  2. Step 2: Convert to fraction form
    5,834.63/8,754.13 = 3,496.30/x
  3. Step 3: Cross multiply
    5,834.63x = 8,754.13 × 3,496.30
  4. Step 4: Simplify right side
    5,834.63x = 30,607,027.54
  5. Step 5: Solve for x
    x = 30,607,027.54/5,834.63
  6. Step 6: Final answer
    x = 5,245.75

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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.