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Finding the Fourth Proportional to 11,591.34, 15,996 and 6,286.15

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Solution

The fourth proportional to 11,591.34, 15,996 and 6,286.15 is: 8,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.34 : 15,996 = 6,286.15 : x
  2. Step 2: Convert to fraction form
    11,591.34/15,996 = 6,286.15/x
  3. Step 3: Cross multiply
    11,591.34x = 15,996 × 6,286.15
  4. Step 4: Simplify right side
    11,591.34x = 100,553,255.40
  5. Step 5: Solve for x
    x = 100,553,255.40/11,591.34
  6. Step 6: Final answer
    x = 8,674.86

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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.