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Finding the Fourth Proportional to 14,206.88, 19,608 and 8,906.24

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Solution

The fourth proportional to 14,206.88, 19,608 and 8,906.24 is: 12,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.88 : 19,608 = 8,906.24 : x
  2. Step 2: Convert to fraction form
    14,206.88/19,608 = 8,906.24/x
  3. Step 3: Cross multiply
    14,206.88x = 19,608 × 8,906.24
  4. Step 4: Simplify right side
    14,206.88x = 174,633,553.92
  5. Step 5: Solve for x
    x = 174,633,553.92/14,206.88
  6. Step 6: Final answer
    x = 12,292.18

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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.