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Finding the Fourth Proportional to 6,441.63, 9,662.66 and 3,063.71

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Solution

The fourth proportional to 6,441.63, 9,662.66 and 3,063.71 is: 4,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.63 : 9,662.66 = 3,063.71 : x
  2. Step 2: Convert to fraction form
    6,441.63/9,662.66 = 3,063.71/x
  3. Step 3: Cross multiply
    6,441.63x = 9,662.66 × 3,063.71
  4. Step 4: Simplify right side
    6,441.63x = 29,603,608.40
  5. Step 5: Solve for x
    x = 29,603,608.40/6,441.63
  6. Step 6: Final answer
    x = 4,595.67

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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.