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Finding the Fourth Proportional to 9,676.11, 14,512.80 and 3,101.44

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Solution

The fourth proportional to 9,676.11, 14,512.80 and 3,101.44 is: 4,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.11 : 14,512.80 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    9,676.11/14,512.80 = 3,101.44/x
  3. Step 3: Cross multiply
    9,676.11x = 14,512.80 × 3,101.44
  4. Step 4: Simplify right side
    9,676.11x = 45,010,554.82
  5. Step 5: Solve for x
    x = 45,010,554.82/9,676.11
  6. Step 6: Final answer
    x = 4,651.72

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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.