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Finding the Fourth Proportional to 4,216.96, 6,323.47 and 2,462.47

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Solution

The fourth proportional to 4,216.96, 6,323.47 and 2,462.47 is: 3,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.96 : 6,323.47 = 2,462.47 : x
  2. Step 2: Convert to fraction form
    4,216.96/6,323.47 = 2,462.47/x
  3. Step 3: Cross multiply
    4,216.96x = 6,323.47 × 2,462.47
  4. Step 4: Simplify right side
    4,216.96x = 15,571,355.17
  5. Step 5: Solve for x
    x = 15,571,355.17/4,216.96
  6. Step 6: Final answer
    x = 3,692.55

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1.5x scale

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.