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Finding the Fourth Proportional to 9,974.61, 13,764.99 and 5,998

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Solution

The fourth proportional to 9,974.61, 13,764.99 and 5,998 is: 8,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.61 : 13,764.99 = 5,998 : x
  2. Step 2: Convert to fraction form
    9,974.61/13,764.99 = 5,998/x
  3. Step 3: Cross multiply
    9,974.61x = 13,764.99 × 5,998
  4. Step 4: Simplify right side
    9,974.61x = 82,562,410.02
  5. Step 5: Solve for x
    x = 82,562,410.02/9,974.61
  6. Step 6: Final answer
    x = 8,277.26

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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.