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Finding the Fourth Proportional to 11,797.60, 17,674.80 and 7,175.20

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Solution

The fourth proportional to 11,797.60, 17,674.80 and 7,175.20 is: 10,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.60 : 17,674.80 = 7,175.20 : x
  2. Step 2: Convert to fraction form
    11,797.60/17,674.80 = 7,175.20/x
  3. Step 3: Cross multiply
    11,797.60x = 17,674.80 × 7,175.20
  4. Step 4: Simplify right side
    11,797.60x = 126,820,224.96
  5. Step 5: Solve for x
    x = 126,820,224.96/11,797.60
  6. Step 6: Final answer
    x = 10,749.66

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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.