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Finding the Fourth Proportional to 6,337.84, 9,508 and 2,176.83

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Solution

The fourth proportional to 6,337.84, 9,508 and 2,176.83 is: 3,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.84 : 9,508 = 2,176.83 : x
  2. Step 2: Convert to fraction form
    6,337.84/9,508 = 2,176.83/x
  3. Step 3: Cross multiply
    6,337.84x = 9,508 × 2,176.83
  4. Step 4: Simplify right side
    6,337.84x = 20,697,299.64
  5. Step 5: Solve for x
    x = 20,697,299.64/6,337.84
  6. Step 6: Final answer
    x = 3,265.67

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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.