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Finding the Fourth Proportional to 12,296.73, 18,446.10 and 3,978.08

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Solution

The fourth proportional to 12,296.73, 18,446.10 and 3,978.08 is: 5,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.73 : 18,446.10 = 3,978.08 : x
  2. Step 2: Convert to fraction form
    12,296.73/18,446.10 = 3,978.08/x
  3. Step 3: Cross multiply
    12,296.73x = 18,446.10 × 3,978.08
  4. Step 4: Simplify right side
    12,296.73x = 73,379,969.26
  5. Step 5: Solve for x
    x = 73,379,969.26/12,296.73
  6. Step 6: Final answer
    x = 5,967.44

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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.