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Finding the Fourth Proportional to 10,813.82, 14,924.40 and 6,098

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Solution

The fourth proportional to 10,813.82, 14,924.40 and 6,098 is: 8,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.82 : 14,924.40 = 6,098 : x
  2. Step 2: Convert to fraction form
    10,813.82/14,924.40 = 6,098/x
  3. Step 3: Cross multiply
    10,813.82x = 14,924.40 × 6,098
  4. Step 4: Simplify right side
    10,813.82x = 91,008,991.20
  5. Step 5: Solve for x
    x = 91,008,991.20/10,813.82
  6. Step 6: Final answer
    x = 8,415.99

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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.