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Finding the Fourth Proportional to 9,229.84, 12,747.80 and 6,723.16

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Solution

The fourth proportional to 9,229.84, 12,747.80 and 6,723.16 is: 9,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.84 : 12,747.80 = 6,723.16 : x
  2. Step 2: Convert to fraction form
    9,229.84/12,747.80 = 6,723.16/x
  3. Step 3: Cross multiply
    9,229.84x = 12,747.80 × 6,723.16
  4. Step 4: Simplify right side
    9,229.84x = 85,705,499.05
  5. Step 5: Solve for x
    x = 85,705,499.05/9,229.84
  6. Step 6: Final answer
    x = 9,285.70

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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.