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Finding the Fourth Proportional to 6,486.76, 9,735.34 and 3,367.67

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Solution

The fourth proportional to 6,486.76, 9,735.34 and 3,367.67 is: 5,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.76 : 9,735.34 = 3,367.67 : x
  2. Step 2: Convert to fraction form
    6,486.76/9,735.34 = 3,367.67/x
  3. Step 3: Cross multiply
    6,486.76x = 9,735.34 × 3,367.67
  4. Step 4: Simplify right side
    6,486.76x = 32,785,412.46
  5. Step 5: Solve for x
    x = 32,785,412.46/6,486.76
  6. Step 6: Final answer
    x = 5,054.21

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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.