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Finding the Fourth Proportional to 12,481.77, 17,232.61 and 7,947.01

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Solution

The fourth proportional to 12,481.77, 17,232.61 and 7,947.01 is: 10,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.77 : 17,232.61 = 7,947.01 : x
  2. Step 2: Convert to fraction form
    12,481.77/17,232.61 = 7,947.01/x
  3. Step 3: Cross multiply
    12,481.77x = 17,232.61 × 7,947.01
  4. Step 4: Simplify right side
    12,481.77x = 136,947,724.00
  5. Step 5: Solve for x
    x = 136,947,724.00/12,481.77
  6. Step 6: Final answer
    x = 10,971.82

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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.