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Finding the Fourth Proportional to 6,971.64, 9,621 and 3,828

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Solution

The fourth proportional to 6,971.64, 9,621 and 3,828 is: 5,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.64 : 9,621 = 3,828 : x
  2. Step 2: Convert to fraction form
    6,971.64/9,621 = 3,828/x
  3. Step 3: Cross multiply
    6,971.64x = 9,621 × 3,828
  4. Step 4: Simplify right side
    6,971.64x = 36,829,188
  5. Step 5: Solve for x
    x = 36,829,188/6,971.64
  6. Step 6: Final answer
    x = 5,282.72

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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.