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Finding the Fourth Proportional to 12,201.49, 16,825.49 and 10,438.93

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Solution

The fourth proportional to 12,201.49, 16,825.49 and 10,438.93 is: 14,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.49 : 16,825.49 = 10,438.93 : x
  2. Step 2: Convert to fraction form
    12,201.49/16,825.49 = 10,438.93/x
  3. Step 3: Cross multiply
    12,201.49x = 16,825.49 × 10,438.93
  4. Step 4: Simplify right side
    12,201.49x = 175,640,060.13
  5. Step 5: Solve for x
    x = 175,640,060.13/12,201.49
  6. Step 6: Final answer
    x = 14,394.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.