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Finding the Fourth Proportional to 9,679.88, 13,354.39 and 5,694.68

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Solution

The fourth proportional to 9,679.88, 13,354.39 and 5,694.68 is: 7,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.88 : 13,354.39 = 5,694.68 : x
  2. Step 2: Convert to fraction form
    9,679.88/13,354.39 = 5,694.68/x
  3. Step 3: Cross multiply
    9,679.88x = 13,354.39 × 5,694.68
  4. Step 4: Simplify right side
    9,679.88x = 76,048,977.65
  5. Step 5: Solve for x
    x = 76,048,977.65/9,679.88
  6. Step 6: Final answer
    x = 7,856.40

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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.