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Finding the Fourth Proportional to 12,070.82, 16,658.38 and 6,767.34

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Solution

The fourth proportional to 12,070.82, 16,658.38 and 6,767.34 is: 9,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.82 : 16,658.38 = 6,767.34 : x
  2. Step 2: Convert to fraction form
    12,070.82/16,658.38 = 6,767.34/x
  3. Step 3: Cross multiply
    12,070.82x = 16,658.38 × 6,767.34
  4. Step 4: Simplify right side
    12,070.82x = 112,732,921.31
  5. Step 5: Solve for x
    x = 112,732,921.31/12,070.82
  6. Step 6: Final answer
    x = 9,339.29

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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.