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Finding the Fourth Proportional to 11,553.60, 17,306.10 and 9,609.60

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Solution

The fourth proportional to 11,553.60, 17,306.10 and 9,609.60 is: 14,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.60 : 17,306.10 = 9,609.60 : x
  2. Step 2: Convert to fraction form
    11,553.60/17,306.10 = 9,609.60/x
  3. Step 3: Cross multiply
    11,553.60x = 17,306.10 × 9,609.60
  4. Step 4: Simplify right side
    11,553.60x = 166,304,698.56
  5. Step 5: Solve for x
    x = 166,304,698.56/11,553.60
  6. Step 6: Final answer
    x = 14,394.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.