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Finding the Fourth Proportional to 4,962.94, 7,444.41 and 2,226.94

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Solution

The fourth proportional to 4,962.94, 7,444.41 and 2,226.94 is: 3,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.94 : 7,444.41 = 2,226.94 : x
  2. Step 2: Convert to fraction form
    4,962.94/7,444.41 = 2,226.94/x
  3. Step 3: Cross multiply
    4,962.94x = 7,444.41 × 2,226.94
  4. Step 4: Simplify right side
    4,962.94x = 16,578,235.79
  5. Step 5: Solve for x
    x = 16,578,235.79/4,962.94
  6. Step 6: Final answer
    x = 3,340.41

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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.