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Finding the Fourth Proportional to 6,474.68, 8,934.77 and 3,642

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Solution

The fourth proportional to 6,474.68, 8,934.77 and 3,642 is: 5,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.68 : 8,934.77 = 3,642 : x
  2. Step 2: Convert to fraction form
    6,474.68/8,934.77 = 3,642/x
  3. Step 3: Cross multiply
    6,474.68x = 8,934.77 × 3,642
  4. Step 4: Simplify right side
    6,474.68x = 32,540,441.45
  5. Step 5: Solve for x
    x = 32,540,441.45/6,474.68
  6. Step 6: Final answer
    x = 5,025.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.