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Finding the Fourth Proportional to 12,431.97, 17,156.12 and 6,842.97

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Solution

The fourth proportional to 12,431.97, 17,156.12 and 6,842.97 is: 9,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.97 : 17,156.12 = 6,842.97 : x
  2. Step 2: Convert to fraction form
    12,431.97/17,156.12 = 6,842.97/x
  3. Step 3: Cross multiply
    12,431.97x = 17,156.12 × 6,842.97
  4. Step 4: Simplify right side
    12,431.97x = 117,398,814.48
  5. Step 5: Solve for x
    x = 117,398,814.48/12,431.97
  6. Step 6: Final answer
    x = 9,443.30

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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.