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Finding the Fourth Proportional to 11,973, 16,522.34 and 6,667.71

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Solution

The fourth proportional to 11,973, 16,522.34 and 6,667.71 is: 9,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 16,522.34 = 6,667.71 : x
  2. Step 2: Convert to fraction form
    11,973/16,522.34 = 6,667.71/x
  3. Step 3: Cross multiply
    11,973x = 16,522.34 × 6,667.71
  4. Step 4: Simplify right side
    11,973x = 110,166,171.64
  5. Step 5: Solve for x
    x = 110,166,171.64/11,973
  6. Step 6: Final answer
    x = 9,201.22

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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.