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Finding the Fourth Proportional to 6,238.47, 9,357.86 and 1,855.97

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Solution

The fourth proportional to 6,238.47, 9,357.86 and 1,855.97 is: 2,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.47 : 9,357.86 = 1,855.97 : x
  2. Step 2: Convert to fraction form
    6,238.47/9,357.86 = 1,855.97/x
  3. Step 3: Cross multiply
    6,238.47x = 9,357.86 × 1,855.97
  4. Step 4: Simplify right side
    6,238.47x = 17,367,865.27
  5. Step 5: Solve for x
    x = 17,367,865.27/6,238.47
  6. Step 6: Final answer
    x = 2,783.99

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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.