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Finding the Fourth Proportional to 9,306.46, 12,843.49 and 5,327.49

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Solution

The fourth proportional to 9,306.46, 12,843.49 and 5,327.49 is: 7,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.46 : 12,843.49 = 5,327.49 : x
  2. Step 2: Convert to fraction form
    9,306.46/12,843.49 = 5,327.49/x
  3. Step 3: Cross multiply
    9,306.46x = 12,843.49 × 5,327.49
  4. Step 4: Simplify right side
    9,306.46x = 68,423,564.54
  5. Step 5: Solve for x
    x = 68,423,564.54/9,306.46
  6. Step 6: Final answer
    x = 7,352.27

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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.