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Finding the Fourth Proportional to 8,294.97, 11,447.28 and 4,518.30

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Solution

The fourth proportional to 8,294.97, 11,447.28 and 4,518.30 is: 6,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.97 : 11,447.28 = 4,518.30 : x
  2. Step 2: Convert to fraction form
    8,294.97/11,447.28 = 4,518.30/x
  3. Step 3: Cross multiply
    8,294.97x = 11,447.28 × 4,518.30
  4. Step 4: Simplify right side
    8,294.97x = 51,722,245.22
  5. Step 5: Solve for x
    x = 51,722,245.22/8,294.97
  6. Step 6: Final answer
    x = 6,235.37

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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.