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Finding the Fourth Proportional to 12,912.73, 17,823.05 and 7,609.21

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Solution

The fourth proportional to 12,912.73, 17,823.05 and 7,609.21 is: 10,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.73 : 17,823.05 = 7,609.21 : x
  2. Step 2: Convert to fraction form
    12,912.73/17,823.05 = 7,609.21/x
  3. Step 3: Cross multiply
    12,912.73x = 17,823.05 × 7,609.21
  4. Step 4: Simplify right side
    12,912.73x = 135,619,330.29
  5. Step 5: Solve for x
    x = 135,619,330.29/12,912.73
  6. Step 6: Final answer
    x = 10,502.76

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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.