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Finding the Fourth Proportional to 9,796.92, 14,727.84 and 7,606.68

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Solution

The fourth proportional to 9,796.92, 14,727.84 and 7,606.68 is: 11,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.92 : 14,727.84 = 7,606.68 : x
  2. Step 2: Convert to fraction form
    9,796.92/14,727.84 = 7,606.68/x
  3. Step 3: Cross multiply
    9,796.92x = 14,727.84 × 7,606.68
  4. Step 4: Simplify right side
    9,796.92x = 112,029,965.97
  5. Step 5: Solve for x
    x = 112,029,965.97/9,796.92
  6. Step 6: Final answer
    x = 11,435.22

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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.