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Finding the Fourth Proportional to 13,676.31, 18,874.49 and 7,709.13

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Solution

The fourth proportional to 13,676.31, 18,874.49 and 7,709.13 is: 10,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.31 : 18,874.49 = 7,709.13 : x
  2. Step 2: Convert to fraction form
    13,676.31/18,874.49 = 7,709.13/x
  3. Step 3: Cross multiply
    13,676.31x = 18,874.49 × 7,709.13
  4. Step 4: Simplify right side
    13,676.31x = 145,505,858.55
  5. Step 5: Solve for x
    x = 145,505,858.55/13,676.31
  6. Step 6: Final answer
    x = 10,639.26

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1.5x scale

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.