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Finding the Fourth Proportional to 4,636.56, 6,954.78 and 2,449.56

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Solution

The fourth proportional to 4,636.56, 6,954.78 and 2,449.56 is: 3,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.56 : 6,954.78 = 2,449.56 : x
  2. Step 2: Convert to fraction form
    4,636.56/6,954.78 = 2,449.56/x
  3. Step 3: Cross multiply
    4,636.56x = 6,954.78 × 2,449.56
  4. Step 4: Simplify right side
    4,636.56x = 17,036,150.90
  5. Step 5: Solve for x
    x = 17,036,150.90/4,636.56
  6. Step 6: Final answer
    x = 3,674.31

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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.