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Finding the Fourth Proportional to 6,410.25, 9,617.04 and 1,793.25

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Solution

The fourth proportional to 6,410.25, 9,617.04 and 1,793.25 is: 2,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.25 : 9,617.04 = 1,793.25 : x
  2. Step 2: Convert to fraction form
    6,410.25/9,617.04 = 1,793.25/x
  3. Step 3: Cross multiply
    6,410.25x = 9,617.04 × 1,793.25
  4. Step 4: Simplify right side
    6,410.25x = 17,245,756.98
  5. Step 5: Solve for x
    x = 17,245,756.98/6,410.25
  6. Step 6: Final answer
    x = 2,690.34

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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.