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Finding the Fourth Proportional to 12,588.26, 17,371.86 and 6,923.12

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Solution

The fourth proportional to 12,588.26, 17,371.86 and 6,923.12 is: 9,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.26 : 17,371.86 = 6,923.12 : x
  2. Step 2: Convert to fraction form
    12,588.26/17,371.86 = 6,923.12/x
  3. Step 3: Cross multiply
    12,588.26x = 17,371.86 × 6,923.12
  4. Step 4: Simplify right side
    12,588.26x = 120,267,471.40
  5. Step 5: Solve for x
    x = 120,267,471.40/12,588.26
  6. Step 6: Final answer
    x = 9,553.94

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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.