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Finding the Fourth Proportional to 6,502.62, 9,753.93 and 3,219.78

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Solution

The fourth proportional to 6,502.62, 9,753.93 and 3,219.78 is: 4,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.62 : 9,753.93 = 3,219.78 : x
  2. Step 2: Convert to fraction form
    6,502.62/9,753.93 = 3,219.78/x
  3. Step 3: Cross multiply
    6,502.62x = 9,753.93 × 3,219.78
  4. Step 4: Simplify right side
    6,502.62x = 31,405,508.74
  5. Step 5: Solve for x
    x = 31,405,508.74/6,502.62
  6. Step 6: Final answer
    x = 4,829.67

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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.