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Finding the Fourth Proportional to 11,694.71, 16,138.71 and 6,389.48

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Solution

The fourth proportional to 11,694.71, 16,138.71 and 6,389.48 is: 8,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.71 : 16,138.71 = 6,389.48 : x
  2. Step 2: Convert to fraction form
    11,694.71/16,138.71 = 6,389.48/x
  3. Step 3: Cross multiply
    11,694.71x = 16,138.71 × 6,389.48
  4. Step 4: Simplify right side
    11,694.71x = 103,118,005.12
  5. Step 5: Solve for x
    x = 103,118,005.12/11,694.71
  6. Step 6: Final answer
    x = 8,817.49

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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.