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Finding the Fourth Proportional to 6,238.07, 9,358.64 and 1,855.50

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Solution

The fourth proportional to 6,238.07, 9,358.64 and 1,855.50 is: 2,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.07 : 9,358.64 = 1,855.50 : x
  2. Step 2: Convert to fraction form
    6,238.07/9,358.64 = 1,855.50/x
  3. Step 3: Cross multiply
    6,238.07x = 9,358.64 × 1,855.50
  4. Step 4: Simplify right side
    6,238.07x = 17,364,947.24
  5. Step 5: Solve for x
    x = 17,364,947.24/6,238.07
  6. Step 6: Final answer
    x = 2,783.71

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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.