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Finding the Fourth Proportional to 6,296.40, 9,454.20 and 3,704.40

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Solution

The fourth proportional to 6,296.40, 9,454.20 and 3,704.40 is: 5,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.40 : 9,454.20 = 3,704.40 : x
  2. Step 2: Convert to fraction form
    6,296.40/9,454.20 = 3,704.40/x
  3. Step 3: Cross multiply
    6,296.40x = 9,454.20 × 3,704.40
  4. Step 4: Simplify right side
    6,296.40x = 35,022,138.48
  5. Step 5: Solve for x
    x = 35,022,138.48/6,296.40
  6. Step 6: Final answer
    x = 5,562.25

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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.