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Finding the Fourth Proportional to 6,441.46, 9,662.22 and 2,281.48

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Solution

The fourth proportional to 6,441.46, 9,662.22 and 2,281.48 is: 3,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.46 : 9,662.22 = 2,281.48 : x
  2. Step 2: Convert to fraction form
    6,441.46/9,662.22 = 2,281.48/x
  3. Step 3: Cross multiply
    6,441.46x = 9,662.22 × 2,281.48
  4. Step 4: Simplify right side
    6,441.46x = 22,044,137.53
  5. Step 5: Solve for x
    x = 22,044,137.53/6,441.46
  6. Step 6: Final answer
    x = 3,422.23

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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.