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Finding the Fourth Proportional to 7,884.75, 11,827.13 and 4,422.27

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Solution

The fourth proportional to 7,884.75, 11,827.13 and 4,422.27 is: 6,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.75 : 11,827.13 = 4,422.27 : x
  2. Step 2: Convert to fraction form
    7,884.75/11,827.13 = 4,422.27/x
  3. Step 3: Cross multiply
    7,884.75x = 11,827.13 × 4,422.27
  4. Step 4: Simplify right side
    7,884.75x = 52,302,740.07
  5. Step 5: Solve for x
    x = 52,302,740.07/7,884.75
  6. Step 6: Final answer
    x = 6,633.41

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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.