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Finding the Fourth Proportional to 11,794.09, 16,276 and 6,488.80

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Solution

The fourth proportional to 11,794.09, 16,276 and 6,488.80 is: 8,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.09 : 16,276 = 6,488.80 : x
  2. Step 2: Convert to fraction form
    11,794.09/16,276 = 6,488.80/x
  3. Step 3: Cross multiply
    11,794.09x = 16,276 × 6,488.80
  4. Step 4: Simplify right side
    11,794.09x = 105,611,708.80
  5. Step 5: Solve for x
    x = 105,611,708.80/11,794.09
  6. Step 6: Final answer
    x = 8,954.63

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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.