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Finding the Fourth Proportional to 15,767.34, 21,758.67 and 8,694.42

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Solution

The fourth proportional to 15,767.34, 21,758.67 and 8,694.42 is: 11,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.34 : 21,758.67 = 8,694.42 : x
  2. Step 2: Convert to fraction form
    15,767.34/21,758.67 = 8,694.42/x
  3. Step 3: Cross multiply
    15,767.34x = 21,758.67 × 8,694.42
  4. Step 4: Simplify right side
    15,767.34x = 189,179,015.62
  5. Step 5: Solve for x
    x = 189,179,015.62/15,767.34
  6. Step 6: Final answer
    x = 11,998.16

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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.