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Finding the Fourth Proportional to 12,433.81, 18,650.91 and 6,922.18

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Solution

The fourth proportional to 12,433.81, 18,650.91 and 6,922.18 is: 10,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.81 : 18,650.91 = 6,922.18 : x
  2. Step 2: Convert to fraction form
    12,433.81/18,650.91 = 6,922.18/x
  3. Step 3: Cross multiply
    12,433.81x = 18,650.91 × 6,922.18
  4. Step 4: Simplify right side
    12,433.81x = 129,105,018.97
  5. Step 5: Solve for x
    x = 129,105,018.97/12,433.81
  6. Step 6: Final answer
    x = 10,383.38

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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.