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Finding the Fourth Proportional to 4,912.09, 7,368.16 and 2,449.97

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Solution

The fourth proportional to 4,912.09, 7,368.16 and 2,449.97 is: 3,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.09 : 7,368.16 = 2,449.97 : x
  2. Step 2: Convert to fraction form
    4,912.09/7,368.16 = 2,449.97/x
  3. Step 3: Cross multiply
    4,912.09x = 7,368.16 × 2,449.97
  4. Step 4: Simplify right side
    4,912.09x = 18,051,758.71
  5. Step 5: Solve for x
    x = 18,051,758.71/4,912.09
  6. Step 6: Final answer
    x = 3,674.96

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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.