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Finding the Fourth Proportional to 6,186, 8,536.98 and 3,667.56

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Solution

The fourth proportional to 6,186, 8,536.98 and 3,667.56 is: 5,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 8,536.98 = 3,667.56 : x
  2. Step 2: Convert to fraction form
    6,186/8,536.98 = 3,667.56/x
  3. Step 3: Cross multiply
    6,186x = 8,536.98 × 3,667.56
  4. Step 4: Simplify right side
    6,186x = 31,309,886.37
  5. Step 5: Solve for x
    x = 31,309,886.37/6,186
  6. Step 6: Final answer
    x = 5,061.41

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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.