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Finding the Fourth Proportional to 6,410.70, 9,616.32 and 2,028.33

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Solution

The fourth proportional to 6,410.70, 9,616.32 and 2,028.33 is: 3,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.70 : 9,616.32 = 2,028.33 : x
  2. Step 2: Convert to fraction form
    6,410.70/9,616.32 = 2,028.33/x
  3. Step 3: Cross multiply
    6,410.70x = 9,616.32 × 2,028.33
  4. Step 4: Simplify right side
    6,410.70x = 19,505,070.35
  5. Step 5: Solve for x
    x = 19,505,070.35/6,410.70
  6. Step 6: Final answer
    x = 3,042.58

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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.