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Finding the Fourth Proportional to 4,226.54, 6,339.81 and 2,291

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Solution

The fourth proportional to 4,226.54, 6,339.81 and 2,291 is: 3,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.54 : 6,339.81 = 2,291 : x
  2. Step 2: Convert to fraction form
    4,226.54/6,339.81 = 2,291/x
  3. Step 3: Cross multiply
    4,226.54x = 6,339.81 × 2,291
  4. Step 4: Simplify right side
    4,226.54x = 14,524,504.71
  5. Step 5: Solve for x
    x = 14,524,504.71/4,226.54
  6. Step 6: Final answer
    x = 3,436.50

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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.