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Finding the Fourth Proportional to 9,974.06, 14,968 and 3,969.52

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Solution

The fourth proportional to 9,974.06, 14,968 and 3,969.52 is: 5,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.06 : 14,968 = 3,969.52 : x
  2. Step 2: Convert to fraction form
    9,974.06/14,968 = 3,969.52/x
  3. Step 3: Cross multiply
    9,974.06x = 14,968 × 3,969.52
  4. Step 4: Simplify right side
    9,974.06x = 59,415,775.36
  5. Step 5: Solve for x
    x = 59,415,775.36/9,974.06
  6. Step 6: Final answer
    x = 5,957.03

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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.