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Finding the Fourth Proportional to 11,689.75, 16,125.36 and 7,650.97

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Solution

The fourth proportional to 11,689.75, 16,125.36 and 7,650.97 is: 10,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.75 : 16,125.36 = 7,650.97 : x
  2. Step 2: Convert to fraction form
    11,689.75/16,125.36 = 7,650.97/x
  3. Step 3: Cross multiply
    11,689.75x = 16,125.36 × 7,650.97
  4. Step 4: Simplify right side
    11,689.75x = 123,374,645.60
  5. Step 5: Solve for x
    x = 123,374,645.60/11,689.75
  6. Step 6: Final answer
    x = 10,554.09

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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.