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Finding the Fourth Proportional to 12,277.80, 16,947.09 and 7,241.63

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Solution

The fourth proportional to 12,277.80, 16,947.09 and 7,241.63 is: 9,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.80 : 16,947.09 = 7,241.63 : x
  2. Step 2: Convert to fraction form
    12,277.80/16,947.09 = 7,241.63/x
  3. Step 3: Cross multiply
    12,277.80x = 16,947.09 × 7,241.63
  4. Step 4: Simplify right side
    12,277.80x = 122,724,470.62
  5. Step 5: Solve for x
    x = 122,724,470.62/12,277.80
  6. Step 6: Final answer
    x = 9,995.64

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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.