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Finding the Fourth Proportional to 6,838.66, 10,261.98 and 2,678.50

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Solution

The fourth proportional to 6,838.66, 10,261.98 and 2,678.50 is: 4,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.66 : 10,261.98 = 2,678.50 : x
  2. Step 2: Convert to fraction form
    6,838.66/10,261.98 = 2,678.50/x
  3. Step 3: Cross multiply
    6,838.66x = 10,261.98 × 2,678.50
  4. Step 4: Simplify right side
    6,838.66x = 27,486,713.43
  5. Step 5: Solve for x
    x = 27,486,713.43/6,838.66
  6. Step 6: Final answer
    x = 4,019.31

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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.