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Finding the Fourth Proportional to 11,811.93, 17,701.94 and 6,546.72

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Solution

The fourth proportional to 11,811.93, 17,701.94 and 6,546.72 is: 9,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.93 : 17,701.94 = 6,546.72 : x
  2. Step 2: Convert to fraction form
    11,811.93/17,701.94 = 6,546.72/x
  3. Step 3: Cross multiply
    11,811.93x = 17,701.94 × 6,546.72
  4. Step 4: Simplify right side
    11,811.93x = 115,889,727.39
  5. Step 5: Solve for x
    x = 115,889,727.39/11,811.93
  6. Step 6: Final answer
    x = 9,811.25

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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.