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Finding the Fourth Proportional to 13,978.03, 20,958.36 and 6,584.35

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Solution

The fourth proportional to 13,978.03, 20,958.36 and 6,584.35 is: 9,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.03 : 20,958.36 = 6,584.35 : x
  2. Step 2: Convert to fraction form
    13,978.03/20,958.36 = 6,584.35/x
  3. Step 3: Cross multiply
    13,978.03x = 20,958.36 × 6,584.35
  4. Step 4: Simplify right side
    13,978.03x = 137,997,177.67
  5. Step 5: Solve for x
    x = 137,997,177.67/13,978.03
  6. Step 6: Final answer
    x = 9,872.43

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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.