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Finding the Fourth Proportional to 6,102.54, 8,420.04 and 3,583.80

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Solution

The fourth proportional to 6,102.54, 8,420.04 and 3,583.80 is: 4,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.54 : 8,420.04 = 3,583.80 : x
  2. Step 2: Convert to fraction form
    6,102.54/8,420.04 = 3,583.80/x
  3. Step 3: Cross multiply
    6,102.54x = 8,420.04 × 3,583.80
  4. Step 4: Simplify right side
    6,102.54x = 30,175,739.35
  5. Step 5: Solve for x
    x = 30,175,739.35/6,102.54
  6. Step 6: Final answer
    x = 4,944.78

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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.