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Finding the Fourth Proportional to 9,391.56, 12,954.72 and 6,204.96

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Solution

The fourth proportional to 9,391.56, 12,954.72 and 6,204.96 is: 8,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.56 : 12,954.72 = 6,204.96 : x
  2. Step 2: Convert to fraction form
    9,391.56/12,954.72 = 6,204.96/x
  3. Step 3: Cross multiply
    9,391.56x = 12,954.72 × 6,204.96
  4. Step 4: Simplify right side
    9,391.56x = 80,383,519.41
  5. Step 5: Solve for x
    x = 80,383,519.41/9,391.56
  6. Step 6: Final answer
    x = 8,559.12

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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.