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Finding the Fourth Proportional to 6,418.69, 9,628.38 and 2,036.50

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Solution

The fourth proportional to 6,418.69, 9,628.38 and 2,036.50 is: 3,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.69 : 9,628.38 = 2,036.50 : x
  2. Step 2: Convert to fraction form
    6,418.69/9,628.38 = 2,036.50/x
  3. Step 3: Cross multiply
    6,418.69x = 9,628.38 × 2,036.50
  4. Step 4: Simplify right side
    6,418.69x = 19,608,171.80
  5. Step 5: Solve for x
    x = 19,608,171.80/6,418.69
  6. Step 6: Final answer
    x = 3,054.86

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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.