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Finding the Fourth Proportional to 12,361.74, 18,542.25 and 4,964.22

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Solution

The fourth proportional to 12,361.74, 18,542.25 and 4,964.22 is: 7,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.74 : 18,542.25 = 4,964.22 : x
  2. Step 2: Convert to fraction form
    12,361.74/18,542.25 = 4,964.22/x
  3. Step 3: Cross multiply
    12,361.74x = 18,542.25 × 4,964.22
  4. Step 4: Simplify right side
    12,361.74x = 92,047,808.30
  5. Step 5: Solve for x
    x = 92,047,808.30/12,361.74
  6. Step 6: Final answer
    x = 7,446.19

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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.