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Finding the Fourth Proportional to 6,138.32, 9,208.76 and 2,034

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Solution

The fourth proportional to 6,138.32, 9,208.76 and 2,034 is: 3,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.32 : 9,208.76 = 2,034 : x
  2. Step 2: Convert to fraction form
    6,138.32/9,208.76 = 2,034/x
  3. Step 3: Cross multiply
    6,138.32x = 9,208.76 × 2,034
  4. Step 4: Simplify right side
    6,138.32x = 18,730,617.84
  5. Step 5: Solve for x
    x = 18,730,617.84/6,138.32
  6. Step 6: Final answer
    x = 3,051.42

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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.