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Finding the Fourth Proportional to 6,238.46, 9,359.64 and 1,855.94

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Solution

The fourth proportional to 6,238.46, 9,359.64 and 1,855.94 is: 2,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.46 : 9,359.64 = 1,855.94 : x
  2. Step 2: Convert to fraction form
    6,238.46/9,359.64 = 1,855.94/x
  3. Step 3: Cross multiply
    6,238.46x = 9,359.64 × 1,855.94
  4. Step 4: Simplify right side
    6,238.46x = 17,370,930.26
  5. Step 5: Solve for x
    x = 17,370,930.26/6,238.46
  6. Step 6: Final answer
    x = 2,784.49

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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.