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Finding the Fourth Proportional to 12,866.36, 17,755.89 and 7,201.06

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Solution

The fourth proportional to 12,866.36, 17,755.89 and 7,201.06 is: 9,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.36 : 17,755.89 = 7,201.06 : x
  2. Step 2: Convert to fraction form
    12,866.36/17,755.89 = 7,201.06/x
  3. Step 3: Cross multiply
    12,866.36x = 17,755.89 × 7,201.06
  4. Step 4: Simplify right side
    12,866.36x = 127,861,104.46
  5. Step 5: Solve for x
    x = 127,861,104.46/12,866.36
  6. Step 6: Final answer
    x = 9,937.63

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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.