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Finding the Fourth Proportional to 6,952.75, 10,429.57 and 2,792.21

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Solution

The fourth proportional to 6,952.75, 10,429.57 and 2,792.21 is: 4,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.75 : 10,429.57 = 2,792.21 : x
  2. Step 2: Convert to fraction form
    6,952.75/10,429.57 = 2,792.21/x
  3. Step 3: Cross multiply
    6,952.75x = 10,429.57 × 2,792.21
  4. Step 4: Simplify right side
    6,952.75x = 29,121,549.65
  5. Step 5: Solve for x
    x = 29,121,549.65/6,952.75
  6. Step 6: Final answer
    x = 4,188.49

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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.