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Finding the Fourth Proportional to 12,614.25, 17,408.21 and 7,025.25

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Solution

The fourth proportional to 12,614.25, 17,408.21 and 7,025.25 is: 9,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.25 : 17,408.21 = 7,025.25 : x
  2. Step 2: Convert to fraction form
    12,614.25/17,408.21 = 7,025.25/x
  3. Step 3: Cross multiply
    12,614.25x = 17,408.21 × 7,025.25
  4. Step 4: Simplify right side
    12,614.25x = 122,296,992.18
  5. Step 5: Solve for x
    x = 122,296,992.18/12,614.25
  6. Step 6: Final answer
    x = 9,695.15

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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.