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Finding the Fourth Proportional to 6,480.84, 9,722.43 and 4,018.44

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Solution

The fourth proportional to 6,480.84, 9,722.43 and 4,018.44 is: 6,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.84 : 9,722.43 = 4,018.44 : x
  2. Step 2: Convert to fraction form
    6,480.84/9,722.43 = 4,018.44/x
  3. Step 3: Cross multiply
    6,480.84x = 9,722.43 × 4,018.44
  4. Step 4: Simplify right side
    6,480.84x = 39,069,001.61
  5. Step 5: Solve for x
    x = 39,069,001.61/6,480.84
  6. Step 6: Final answer
    x = 6,028.39

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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.