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Finding the Fourth Proportional to 12,296.62, 18,446.74 and 3,973.87

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Solution

The fourth proportional to 12,296.62, 18,446.74 and 3,973.87 is: 5,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.62 : 18,446.74 = 3,973.87 : x
  2. Step 2: Convert to fraction form
    12,296.62/18,446.74 = 3,973.87/x
  3. Step 3: Cross multiply
    12,296.62x = 18,446.74 × 3,973.87
  4. Step 4: Simplify right side
    12,296.62x = 73,304,890.63
  5. Step 5: Solve for x
    x = 73,304,890.63/12,296.62
  6. Step 6: Final answer
    x = 5,961.39

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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.