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Finding the Fourth Proportional to 7,693.98, 11,540.97 and 2,147.34

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Solution

The fourth proportional to 7,693.98, 11,540.97 and 2,147.34 is: 3,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.98 : 11,540.97 = 2,147.34 : x
  2. Step 2: Convert to fraction form
    7,693.98/11,540.97 = 2,147.34/x
  3. Step 3: Cross multiply
    7,693.98x = 11,540.97 × 2,147.34
  4. Step 4: Simplify right side
    7,693.98x = 24,782,328.81
  5. Step 5: Solve for x
    x = 24,782,328.81/7,693.98
  6. Step 6: Final answer
    x = 3,221.00

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Similar ratio
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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.