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Finding the Fourth Proportional to 4,306.44, 6,460.74 and 1,228.44

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Solution

The fourth proportional to 4,306.44, 6,460.74 and 1,228.44 is: 1,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.44 : 6,460.74 = 1,228.44 : x
  2. Step 2: Convert to fraction form
    4,306.44/6,460.74 = 1,228.44/x
  3. Step 3: Cross multiply
    4,306.44x = 6,460.74 × 1,228.44
  4. Step 4: Simplify right side
    4,306.44x = 7,936,625.30
  5. Step 5: Solve for x
    x = 7,936,625.30/4,306.44
  6. Step 6: Final answer
    x = 1,842.97

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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.