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Finding the Fourth Proportional to 6,783.89, 10,162.92 and 3,263.50

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Solution

The fourth proportional to 6,783.89, 10,162.92 and 3,263.50 is: 4,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.89 : 10,162.92 = 3,263.50 : x
  2. Step 2: Convert to fraction form
    6,783.89/10,162.92 = 3,263.50/x
  3. Step 3: Cross multiply
    6,783.89x = 10,162.92 × 3,263.50
  4. Step 4: Simplify right side
    6,783.89x = 33,166,689.42
  5. Step 5: Solve for x
    x = 33,166,689.42/6,783.89
  6. Step 6: Final answer
    x = 4,889.04

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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.