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Finding the Fourth Proportional to 9,829.98, 14,751 and 3,986.64

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Solution

The fourth proportional to 9,829.98, 14,751 and 3,986.64 is: 5,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.98 : 14,751 = 3,986.64 : x
  2. Step 2: Convert to fraction form
    9,829.98/14,751 = 3,986.64/x
  3. Step 3: Cross multiply
    9,829.98x = 14,751 × 3,986.64
  4. Step 4: Simplify right side
    9,829.98x = 58,806,926.64
  5. Step 5: Solve for x
    x = 58,806,926.64/9,829.98
  6. Step 6: Final answer
    x = 5,982.41

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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.