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Finding the Fourth Proportional to 12,431.75, 17,156.09 and 6,842.75

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Solution

The fourth proportional to 12,431.75, 17,156.09 and 6,842.75 is: 9,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.75 : 17,156.09 = 6,842.75 : x
  2. Step 2: Convert to fraction form
    12,431.75/17,156.09 = 6,842.75/x
  3. Step 3: Cross multiply
    12,431.75x = 17,156.09 × 6,842.75
  4. Step 4: Simplify right side
    12,431.75x = 117,394,800.63
  5. Step 5: Solve for x
    x = 117,394,800.63/12,431.75
  6. Step 6: Final answer
    x = 9,443.14

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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.