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Finding the Fourth Proportional to 6,852.58, 10,277.79 and 2,234.50

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Solution

The fourth proportional to 6,852.58, 10,277.79 and 2,234.50 is: 3,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.58 : 10,277.79 = 2,234.50 : x
  2. Step 2: Convert to fraction form
    6,852.58/10,277.79 = 2,234.50/x
  3. Step 3: Cross multiply
    6,852.58x = 10,277.79 × 2,234.50
  4. Step 4: Simplify right side
    6,852.58x = 22,965,721.76
  5. Step 5: Solve for x
    x = 22,965,721.76/6,852.58
  6. Step 6: Final answer
    x = 3,351.40

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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.