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Finding the Fourth Proportional to 6,125.51, 9,186.44 and 2,229

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Solution

The fourth proportional to 6,125.51, 9,186.44 and 2,229 is: 3,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.51 : 9,186.44 = 2,229 : x
  2. Step 2: Convert to fraction form
    6,125.51/9,186.44 = 2,229/x
  3. Step 3: Cross multiply
    6,125.51x = 9,186.44 × 2,229
  4. Step 4: Simplify right side
    6,125.51x = 20,476,563.62
  5. Step 5: Solve for x
    x = 20,476,563.62/6,125.51
  6. Step 6: Final answer
    x = 3,342.84

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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.