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Finding the Fourth Proportional to 6,709, 10,063.50 and 2,762.12

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Solution

The fourth proportional to 6,709, 10,063.50 and 2,762.12 is: 4,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709 : 10,063.50 = 2,762.12 : x
  2. Step 2: Convert to fraction form
    6,709/10,063.50 = 2,762.12/x
  3. Step 3: Cross multiply
    6,709x = 10,063.50 × 2,762.12
  4. Step 4: Simplify right side
    6,709x = 27,796,594.62
  5. Step 5: Solve for x
    x = 27,796,594.62/6,709
  6. Step 6: Final answer
    x = 4,143.18

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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.