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Finding the Fourth Proportional to 23,193.40, 34,786.84 and 7,609

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Solution

The fourth proportional to 23,193.40, 34,786.84 and 7,609 is: 11,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.40 : 34,786.84 = 7,609 : x
  2. Step 2: Convert to fraction form
    23,193.40/34,786.84 = 7,609/x
  3. Step 3: Cross multiply
    23,193.40x = 34,786.84 × 7,609
  4. Step 4: Simplify right side
    23,193.40x = 264,693,065.56
  5. Step 5: Solve for x
    x = 264,693,065.56/23,193.40
  6. Step 6: Final answer
    x = 11,412.43

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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.