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Finding the Fourth Proportional to 6,967.75, 9,615.51 and 3,824.02

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Solution

The fourth proportional to 6,967.75, 9,615.51 and 3,824.02 is: 5,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.75 : 9,615.51 = 3,824.02 : x
  2. Step 2: Convert to fraction form
    6,967.75/9,615.51 = 3,824.02/x
  3. Step 3: Cross multiply
    6,967.75x = 9,615.51 × 3,824.02
  4. Step 4: Simplify right side
    6,967.75x = 36,769,902.55
  5. Step 5: Solve for x
    x = 36,769,902.55/6,967.75
  6. Step 6: Final answer
    x = 5,277.16

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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.