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Finding the Fourth Proportional to 6,555.46, 9,833.82 and 2,173

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Solution

The fourth proportional to 6,555.46, 9,833.82 and 2,173 is: 3,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.46 : 9,833.82 = 2,173 : x
  2. Step 2: Convert to fraction form
    6,555.46/9,833.82 = 2,173/x
  3. Step 3: Cross multiply
    6,555.46x = 9,833.82 × 2,173
  4. Step 4: Simplify right side
    6,555.46x = 21,368,890.86
  5. Step 5: Solve for x
    x = 21,368,890.86/6,555.46
  6. Step 6: Final answer
    x = 3,259.71

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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.