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Finding the Fourth Proportional to 9,847.74, 14,766 and 6,731.58

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Solution

The fourth proportional to 9,847.74, 14,766 and 6,731.58 is: 10,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.74 : 14,766 = 6,731.58 : x
  2. Step 2: Convert to fraction form
    9,847.74/14,766 = 6,731.58/x
  3. Step 3: Cross multiply
    9,847.74x = 14,766 × 6,731.58
  4. Step 4: Simplify right side
    9,847.74x = 99,398,510.28
  5. Step 5: Solve for x
    x = 99,398,510.28/9,847.74
  6. Step 6: Final answer
    x = 10,093.54

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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.