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Finding the Fourth Proportional to 6,650.06, 9,976.26 and 4,047.50

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Solution

The fourth proportional to 6,650.06, 9,976.26 and 4,047.50 is: 6,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.06 : 9,976.26 = 4,047.50 : x
  2. Step 2: Convert to fraction form
    6,650.06/9,976.26 = 4,047.50/x
  3. Step 3: Cross multiply
    6,650.06x = 9,976.26 × 4,047.50
  4. Step 4: Simplify right side
    6,650.06x = 40,378,912.35
  5. Step 5: Solve for x
    x = 40,378,912.35/6,650.06
  6. Step 6: Final answer
    x = 6,071.96

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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.