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Finding the Fourth Proportional to 6,194.95, 8,546.95 and 3,540.48

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Solution

The fourth proportional to 6,194.95, 8,546.95 and 3,540.48 is: 4,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.95 : 8,546.95 = 3,540.48 : x
  2. Step 2: Convert to fraction form
    6,194.95/8,546.95 = 3,540.48/x
  3. Step 3: Cross multiply
    6,194.95x = 8,546.95 × 3,540.48
  4. Step 4: Simplify right side
    6,194.95x = 30,260,305.54
  5. Step 5: Solve for x
    x = 30,260,305.54/6,194.95
  6. Step 6: Final answer
    x = 4,884.67

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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.