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Finding the Fourth Proportional to 6,952.84, 10,429.29 and 2,022.50

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Solution

The fourth proportional to 6,952.84, 10,429.29 and 2,022.50 is: 3,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.84 : 10,429.29 = 2,022.50 : x
  2. Step 2: Convert to fraction form
    6,952.84/10,429.29 = 2,022.50/x
  3. Step 3: Cross multiply
    6,952.84x = 10,429.29 × 2,022.50
  4. Step 4: Simplify right side
    6,952.84x = 21,093,265.10
  5. Step 5: Solve for x
    x = 21,093,265.10/6,952.84
  6. Step 6: Final answer
    x = 3,033.76

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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.