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Finding the Fourth Proportional to 6,758.98, 10,138.57 and 4,433.74

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Solution

The fourth proportional to 6,758.98, 10,138.57 and 4,433.74 is: 6,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.98 : 10,138.57 = 4,433.74 : x
  2. Step 2: Convert to fraction form
    6,758.98/10,138.57 = 4,433.74/x
  3. Step 3: Cross multiply
    6,758.98x = 10,138.57 × 4,433.74
  4. Step 4: Simplify right side
    6,758.98x = 44,951,746.92
  5. Step 5: Solve for x
    x = 44,951,746.92/6,758.98
  6. Step 6: Final answer
    x = 6,650.67

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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.