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Finding the Fourth Proportional to 12,676.38, 17,491.86 and 7,010.70

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Solution

The fourth proportional to 12,676.38, 17,491.86 and 7,010.70 is: 9,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.38 : 17,491.86 = 7,010.70 : x
  2. Step 2: Convert to fraction form
    12,676.38/17,491.86 = 7,010.70/x
  3. Step 3: Cross multiply
    12,676.38x = 17,491.86 × 7,010.70
  4. Step 4: Simplify right side
    12,676.38x = 122,630,182.90
  5. Step 5: Solve for x
    x = 122,630,182.90/12,676.38
  6. Step 6: Final answer
    x = 9,673.91

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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.