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Finding the Fourth Proportional to 12,775.44, 17,630.26 and 7,186.44

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Solution

The fourth proportional to 12,775.44, 17,630.26 and 7,186.44 is: 9,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.44 : 17,630.26 = 7,186.44 : x
  2. Step 2: Convert to fraction form
    12,775.44/17,630.26 = 7,186.44/x
  3. Step 3: Cross multiply
    12,775.44x = 17,630.26 × 7,186.44
  4. Step 4: Simplify right side
    12,775.44x = 126,698,805.67
  5. Step 5: Solve for x
    x = 126,698,805.67/12,775.44
  6. Step 6: Final answer
    x = 9,917.37

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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.