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Finding the Fourth Proportional to 7,889.64, 11,834.40 and 6,497.34

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Solution

The fourth proportional to 7,889.64, 11,834.40 and 6,497.34 is: 9,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.64 : 11,834.40 = 6,497.34 : x
  2. Step 2: Convert to fraction form
    7,889.64/11,834.40 = 6,497.34/x
  3. Step 3: Cross multiply
    7,889.64x = 11,834.40 × 6,497.34
  4. Step 4: Simplify right side
    7,889.64x = 76,892,120.50
  5. Step 5: Solve for x
    x = 76,892,120.50/7,889.64
  6. Step 6: Final answer
    x = 9,745.96

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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.