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Finding the Fourth Proportional to 8,310.75, 11,468.84 and 4,584.75

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Solution

The fourth proportional to 8,310.75, 11,468.84 and 4,584.75 is: 6,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.75 : 11,468.84 = 4,584.75 : x
  2. Step 2: Convert to fraction form
    8,310.75/11,468.84 = 4,584.75/x
  3. Step 3: Cross multiply
    8,310.75x = 11,468.84 × 4,584.75
  4. Step 4: Simplify right side
    8,310.75x = 52,581,741.27
  5. Step 5: Solve for x
    x = 52,581,741.27/8,310.75
  6. Step 6: Final answer
    x = 6,326.96

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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.