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Finding the Fourth Proportional to 12,009.36, 16,571.93 and 6,971.97

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Solution

The fourth proportional to 12,009.36, 16,571.93 and 6,971.97 is: 9,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.36 : 16,571.93 = 6,971.97 : x
  2. Step 2: Convert to fraction form
    12,009.36/16,571.93 = 6,971.97/x
  3. Step 3: Cross multiply
    12,009.36x = 16,571.93 × 6,971.97
  4. Step 4: Simplify right side
    12,009.36x = 115,538,998.80
  5. Step 5: Solve for x
    x = 115,538,998.80/12,009.36
  6. Step 6: Final answer
    x = 9,620.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.