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Finding the Fourth Proportional to 6,418.78, 9,624 and 4,220.83

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Solution

The fourth proportional to 6,418.78, 9,624 and 4,220.83 is: 6,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.78 : 9,624 = 4,220.83 : x
  2. Step 2: Convert to fraction form
    6,418.78/9,624 = 4,220.83/x
  3. Step 3: Cross multiply
    6,418.78x = 9,624 × 4,220.83
  4. Step 4: Simplify right side
    6,418.78x = 40,621,267.92
  5. Step 5: Solve for x
    x = 40,621,267.92/6,418.78
  6. Step 6: Final answer
    x = 6,328.50

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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.