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Finding the Fourth Proportional to 12,433.94, 18,651.10 and 6,922.31

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Solution

The fourth proportional to 12,433.94, 18,651.10 and 6,922.31 is: 10,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.94 : 18,651.10 = 6,922.31 : x
  2. Step 2: Convert to fraction form
    12,433.94/18,651.10 = 6,922.31/x
  3. Step 3: Cross multiply
    12,433.94x = 18,651.10 × 6,922.31
  4. Step 4: Simplify right side
    12,433.94x = 129,108,646.77
  5. Step 5: Solve for x
    x = 129,108,646.77/12,433.94
  6. Step 6: Final answer
    x = 10,383.57

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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.