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Finding the Fourth Proportional to 11,609.74, 17,449.68 and 7,674.49

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Solution

The fourth proportional to 11,609.74, 17,449.68 and 7,674.49 is: 11,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.74 : 17,449.68 = 7,674.49 : x
  2. Step 2: Convert to fraction form
    11,609.74/17,449.68 = 7,674.49/x
  3. Step 3: Cross multiply
    11,609.74x = 17,449.68 × 7,674.49
  4. Step 4: Simplify right side
    11,609.74x = 133,917,394.66
  5. Step 5: Solve for x
    x = 133,917,394.66/11,609.74
  6. Step 6: Final answer
    x = 11,534.92

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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.