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Finding the Fourth Proportional to 12,648.18, 17,448.84 and 7,609.44

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Solution

The fourth proportional to 12,648.18, 17,448.84 and 7,609.44 is: 10,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.18 : 17,448.84 = 7,609.44 : x
  2. Step 2: Convert to fraction form
    12,648.18/17,448.84 = 7,609.44/x
  3. Step 3: Cross multiply
    12,648.18x = 17,448.84 × 7,609.44
  4. Step 4: Simplify right side
    12,648.18x = 132,775,901.05
  5. Step 5: Solve for x
    x = 132,775,901.05/12,648.18
  6. Step 6: Final answer
    x = 10,497.63

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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.