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Finding the Fourth Proportional to 9,934.44, 13,709.88 and 5,954.78

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Solution

The fourth proportional to 9,934.44, 13,709.88 and 5,954.78 is: 8,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.44 : 13,709.88 = 5,954.78 : x
  2. Step 2: Convert to fraction form
    9,934.44/13,709.88 = 5,954.78/x
  3. Step 3: Cross multiply
    9,934.44x = 13,709.88 × 5,954.78
  4. Step 4: Simplify right side
    9,934.44x = 81,639,319.23
  5. Step 5: Solve for x
    x = 81,639,319.23/9,934.44
  6. Step 6: Final answer
    x = 8,217.81

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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.