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Finding the Fourth Proportional to 12,967.09, 17,893.31 and 7,660.88

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Solution

The fourth proportional to 12,967.09, 17,893.31 and 7,660.88 is: 10,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.09 : 17,893.31 = 7,660.88 : x
  2. Step 2: Convert to fraction form
    12,967.09/17,893.31 = 7,660.88/x
  3. Step 3: Cross multiply
    12,967.09x = 17,893.31 × 7,660.88
  4. Step 4: Simplify right side
    12,967.09x = 137,078,440.04
  5. Step 5: Solve for x
    x = 137,078,440.04/12,967.09
  6. Step 6: Final answer
    x = 10,571.26

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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.