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Finding the Fourth Proportional to 6,952.27, 10,429.43 and 2,021.27

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Solution

The fourth proportional to 6,952.27, 10,429.43 and 2,021.27 is: 3,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.27 : 10,429.43 = 2,021.27 : x
  2. Step 2: Convert to fraction form
    6,952.27/10,429.43 = 2,021.27/x
  3. Step 3: Cross multiply
    6,952.27x = 10,429.43 × 2,021.27
  4. Step 4: Simplify right side
    6,952.27x = 21,080,693.98
  5. Step 5: Solve for x
    x = 21,080,693.98/6,952.27
  6. Step 6: Final answer
    x = 3,032.20

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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.