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Finding the Fourth Proportional to 11,694.54, 16,138.53 and 6,977.64

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Solution

The fourth proportional to 11,694.54, 16,138.53 and 6,977.64 is: 9,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.54 : 16,138.53 = 6,977.64 : x
  2. Step 2: Convert to fraction form
    11,694.54/16,138.53 = 6,977.64/x
  3. Step 3: Cross multiply
    11,694.54x = 16,138.53 × 6,977.64
  4. Step 4: Simplify right side
    11,694.54x = 112,608,852.47
  5. Step 5: Solve for x
    x = 112,608,852.47/11,694.54
  6. Step 6: Final answer
    x = 9,629.18

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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.