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Finding the Fourth Proportional to 12,166.97, 16,780.65 and 8,389.26

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Solution

The fourth proportional to 12,166.97, 16,780.65 and 8,389.26 is: 11,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.97 : 16,780.65 = 8,389.26 : x
  2. Step 2: Convert to fraction form
    12,166.97/16,780.65 = 8,389.26/x
  3. Step 3: Cross multiply
    12,166.97x = 16,780.65 × 8,389.26
  4. Step 4: Simplify right side
    12,166.97x = 140,777,235.82
  5. Step 5: Solve for x
    x = 140,777,235.82/12,166.97
  6. Step 6: Final answer
    x = 11,570.45

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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.