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Finding the Fourth Proportional to 8,326.98, 11,540.93 and 8,171.46

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Solution

The fourth proportional to 8,326.98, 11,540.93 and 8,171.46 is: 11,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.98 : 11,540.93 = 8,171.46 : x
  2. Step 2: Convert to fraction form
    8,326.98/11,540.93 = 8,171.46/x
  3. Step 3: Cross multiply
    8,326.98x = 11,540.93 × 8,171.46
  4. Step 4: Simplify right side
    8,326.98x = 94,306,207.00
  5. Step 5: Solve for x
    x = 94,306,207.00/8,326.98
  6. Step 6: Final answer
    x = 11,325.38

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.