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Finding the Fourth Proportional to 6,206, 8,564.28 and 3,411.44

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Solution

The fourth proportional to 6,206, 8,564.28 and 3,411.44 is: 4,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206 : 8,564.28 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    6,206/8,564.28 = 3,411.44/x
  3. Step 3: Cross multiply
    6,206x = 8,564.28 × 3,411.44
  4. Step 4: Simplify right side
    6,206x = 29,216,527.36
  5. Step 5: Solve for x
    x = 29,216,527.36/6,206
  6. Step 6: Final answer
    x = 4,707.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.