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Finding the Fourth Proportional to 9,792.56, 13,508.07 and 6,251.78

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Solution

The fourth proportional to 9,792.56, 13,508.07 and 6,251.78 is: 8,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.56 : 13,508.07 = 6,251.78 : x
  2. Step 2: Convert to fraction form
    9,792.56/13,508.07 = 6,251.78/x
  3. Step 3: Cross multiply
    9,792.56x = 13,508.07 × 6,251.78
  4. Step 4: Simplify right side
    9,792.56x = 84,449,414.32
  5. Step 5: Solve for x
    x = 84,449,414.32/9,792.56
  6. Step 6: Final answer
    x = 8,623.84

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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.