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Finding the Fourth Proportional to 12,771.77, 17,624.77 and 7,394.44

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Solution

The fourth proportional to 12,771.77, 17,624.77 and 7,394.44 is: 10,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.77 : 17,624.77 = 7,394.44 : x
  2. Step 2: Convert to fraction form
    12,771.77/17,624.77 = 7,394.44/x
  3. Step 3: Cross multiply
    12,771.77x = 17,624.77 × 7,394.44
  4. Step 4: Simplify right side
    12,771.77x = 130,325,304.28
  5. Step 5: Solve for x
    x = 130,325,304.28/12,771.77
  6. Step 6: Final answer
    x = 10,204.17

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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.