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Finding the Fourth Proportional to 4,383, 6,575.46 and 1,647

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Solution

The fourth proportional to 4,383, 6,575.46 and 1,647 is: 2,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383 : 6,575.46 = 1,647 : x
  2. Step 2: Convert to fraction form
    4,383/6,575.46 = 1,647/x
  3. Step 3: Cross multiply
    4,383x = 6,575.46 × 1,647
  4. Step 4: Simplify right side
    4,383x = 10,829,782.62
  5. Step 5: Solve for x
    x = 10,829,782.62/4,383
  6. Step 6: Final answer
    x = 2,470.86

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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.