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Finding the Fourth Proportional to 4,494.36, 6,738.48 and 2,301.30

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Solution

The fourth proportional to 4,494.36, 6,738.48 and 2,301.30 is: 3,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.36 : 6,738.48 = 2,301.30 : x
  2. Step 2: Convert to fraction form
    4,494.36/6,738.48 = 2,301.30/x
  3. Step 3: Cross multiply
    4,494.36x = 6,738.48 × 2,301.30
  4. Step 4: Simplify right side
    4,494.36x = 15,507,264.02
  5. Step 5: Solve for x
    x = 15,507,264.02/4,494.36
  6. Step 6: Final answer
    x = 3,450.38

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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.