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Finding the Fourth Proportional to 8,033.54, 11,971.44 and 7,769.25

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Solution

The fourth proportional to 8,033.54, 11,971.44 and 7,769.25 is: 11,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.54 : 11,971.44 = 7,769.25 : x
  2. Step 2: Convert to fraction form
    8,033.54/11,971.44 = 7,769.25/x
  3. Step 3: Cross multiply
    8,033.54x = 11,971.44 × 7,769.25
  4. Step 4: Simplify right side
    8,033.54x = 93,009,110.22
  5. Step 5: Solve for x
    x = 93,009,110.22/8,033.54
  6. Step 6: Final answer
    x = 11,577.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.