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Finding the Fourth Proportional to 6,138, 9,207.48 and 2,034

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Solution

The fourth proportional to 6,138, 9,207.48 and 2,034 is: 3,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 9,207.48 = 2,034 : x
  2. Step 2: Convert to fraction form
    6,138/9,207.48 = 2,034/x
  3. Step 3: Cross multiply
    6,138x = 9,207.48 × 2,034
  4. Step 4: Simplify right side
    6,138x = 18,728,014.32
  5. Step 5: Solve for x
    x = 18,728,014.32/6,138
  6. Step 6: Final answer
    x = 3,051.16

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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.