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Finding the Fourth Proportional to 6,003.50, 8,284.80 and 3,350.75

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Solution

The fourth proportional to 6,003.50, 8,284.80 and 3,350.75 is: 4,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.50 : 8,284.80 = 3,350.75 : x
  2. Step 2: Convert to fraction form
    6,003.50/8,284.80 = 3,350.75/x
  3. Step 3: Cross multiply
    6,003.50x = 8,284.80 × 3,350.75
  4. Step 4: Simplify right side
    6,003.50x = 27,760,293.60
  5. Step 5: Solve for x
    x = 27,760,293.60/6,003.50
  6. Step 6: Final answer
    x = 4,624.02

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Half scale
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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.