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Finding the Fourth Proportional to 16,884, 25,327.26 and 6,495.75

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Solution

The fourth proportional to 16,884, 25,327.26 and 6,495.75 is: 9,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884 : 25,327.26 = 6,495.75 : x
  2. Step 2: Convert to fraction form
    16,884/25,327.26 = 6,495.75/x
  3. Step 3: Cross multiply
    16,884x = 25,327.26 × 6,495.75
  4. Step 4: Simplify right side
    16,884x = 164,519,549.15
  5. Step 5: Solve for x
    x = 164,519,549.15/16,884
  6. Step 6: Final answer
    x = 9,744.11

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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.