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Finding the Fourth Proportional to 12,309.84, 16,976.25 and 8,336.79

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Solution

The fourth proportional to 12,309.84, 16,976.25 and 8,336.79 is: 11,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.84 : 16,976.25 = 8,336.79 : x
  2. Step 2: Convert to fraction form
    12,309.84/16,976.25 = 8,336.79/x
  3. Step 3: Cross multiply
    12,309.84x = 16,976.25 × 8,336.79
  4. Step 4: Simplify right side
    12,309.84x = 141,527,431.24
  5. Step 5: Solve for x
    x = 141,527,431.24/12,309.84
  6. Step 6: Final answer
    x = 11,497.10

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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.