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Finding the Fourth Proportional to 11,548.76, 17,311.78 and 7,334.08

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Solution

The fourth proportional to 11,548.76, 17,311.78 and 7,334.08 is: 10,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.76 : 17,311.78 = 7,334.08 : x
  2. Step 2: Convert to fraction form
    11,548.76/17,311.78 = 7,334.08/x
  3. Step 3: Cross multiply
    11,548.76x = 17,311.78 × 7,334.08
  4. Step 4: Simplify right side
    11,548.76x = 126,965,979.46
  5. Step 5: Solve for x
    x = 126,965,979.46/11,548.76
  6. Step 6: Final answer
    x = 10,993.91

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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.