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Finding the Fourth Proportional to 9,694.14, 14,512.48 and 5,984.44

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Solution

The fourth proportional to 9,694.14, 14,512.48 and 5,984.44 is: 8,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.14 : 14,512.48 = 5,984.44 : x
  2. Step 2: Convert to fraction form
    9,694.14/14,512.48 = 5,984.44/x
  3. Step 3: Cross multiply
    9,694.14x = 14,512.48 × 5,984.44
  4. Step 4: Simplify right side
    9,694.14x = 86,849,065.81
  5. Step 5: Solve for x
    x = 86,849,065.81/9,694.14
  6. Step 6: Final answer
    x = 8,958.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.