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Finding the Fourth Proportional to 9,247.28, 13,863 and 6,316.88

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Solution

The fourth proportional to 9,247.28, 13,863 and 6,316.88 is: 9,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.28 : 13,863 = 6,316.88 : x
  2. Step 2: Convert to fraction form
    9,247.28/13,863 = 6,316.88/x
  3. Step 3: Cross multiply
    9,247.28x = 13,863 × 6,316.88
  4. Step 4: Simplify right side
    9,247.28x = 87,570,907.44
  5. Step 5: Solve for x
    x = 87,570,907.44/9,247.28
  6. Step 6: Final answer
    x = 9,469.91

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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.