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Finding the Fourth Proportional to 12,676.97, 17,490.64 and 7,571.89

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Solution

The fourth proportional to 12,676.97, 17,490.64 and 7,571.89 is: 10,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.97 : 17,490.64 = 7,571.89 : x
  2. Step 2: Convert to fraction form
    12,676.97/17,490.64 = 7,571.89/x
  3. Step 3: Cross multiply
    12,676.97x = 17,490.64 × 7,571.89
  4. Step 4: Simplify right side
    12,676.97x = 132,437,202.11
  5. Step 5: Solve for x
    x = 132,437,202.11/12,676.97
  6. Step 6: Final answer
    x = 10,447.07

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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.