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Finding the Fourth Proportional to 6,310.52, 9,470.82 and 3,715.64

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Solution

The fourth proportional to 6,310.52, 9,470.82 and 3,715.64 is: 5,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.52 : 9,470.82 = 3,715.64 : x
  2. Step 2: Convert to fraction form
    6,310.52/9,470.82 = 3,715.64/x
  3. Step 3: Cross multiply
    6,310.52x = 9,470.82 × 3,715.64
  4. Step 4: Simplify right side
    6,310.52x = 35,190,157.62
  5. Step 5: Solve for x
    x = 35,190,157.62/6,310.52
  6. Step 6: Final answer
    x = 5,576.43

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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.