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Finding the Fourth Proportional to 6,359.96, 9,540.93 and 1,976.37

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Solution

The fourth proportional to 6,359.96, 9,540.93 and 1,976.37 is: 2,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.96 : 9,540.93 = 1,976.37 : x
  2. Step 2: Convert to fraction form
    6,359.96/9,540.93 = 1,976.37/x
  3. Step 3: Cross multiply
    6,359.96x = 9,540.93 × 1,976.37
  4. Step 4: Simplify right side
    6,359.96x = 18,856,407.82
  5. Step 5: Solve for x
    x = 18,856,407.82/6,359.96
  6. Step 6: Final answer
    x = 2,964.86

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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.