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Finding the Fourth Proportional to 9,786.03, 14,676.35 and 2,765.49

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Solution

The fourth proportional to 9,786.03, 14,676.35 and 2,765.49 is: 4,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.03 : 14,676.35 = 2,765.49 : x
  2. Step 2: Convert to fraction form
    9,786.03/14,676.35 = 2,765.49/x
  3. Step 3: Cross multiply
    9,786.03x = 14,676.35 × 2,765.49
  4. Step 4: Simplify right side
    9,786.03x = 40,587,285.33
  5. Step 5: Solve for x
    x = 40,587,285.33/9,786.03
  6. Step 6: Final answer
    x = 4,147.47

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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.