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Finding the Fourth Proportional to 8,676.86, 11,974.12 and 4,698

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Solution

The fourth proportional to 8,676.86, 11,974.12 and 4,698 is: 6,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.86 : 11,974.12 = 4,698 : x
  2. Step 2: Convert to fraction form
    8,676.86/11,974.12 = 4,698/x
  3. Step 3: Cross multiply
    8,676.86x = 11,974.12 × 4,698
  4. Step 4: Simplify right side
    8,676.86x = 56,254,404.02
  5. Step 5: Solve for x
    x = 56,254,404.02/8,676.86
  6. Step 6: Final answer
    x = 6,483.27

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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.