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Finding the Fourth Proportional to 12,166.69, 16,789.98 and 6,577.69

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Solution

The fourth proportional to 12,166.69, 16,789.98 and 6,577.69 is: 9,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.69 : 16,789.98 = 6,577.69 : x
  2. Step 2: Convert to fraction form
    12,166.69/16,789.98 = 6,577.69/x
  3. Step 3: Cross multiply
    12,166.69x = 16,789.98 × 6,577.69
  4. Step 4: Simplify right side
    12,166.69x = 110,439,297.72
  5. Step 5: Solve for x
    x = 110,439,297.72/12,166.69
  6. Step 6: Final answer
    x = 9,077.19

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1.5x scale

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.