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Finding the Fourth Proportional to 12,186.34, 16,817.22 and 6,597.34

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Solution

The fourth proportional to 12,186.34, 16,817.22 and 6,597.34 is: 9,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.34 : 16,817.22 = 6,597.34 : x
  2. Step 2: Convert to fraction form
    12,186.34/16,817.22 = 6,597.34/x
  3. Step 3: Cross multiply
    12,186.34x = 16,817.22 × 6,597.34
  4. Step 4: Simplify right side
    12,186.34x = 110,948,918.19
  5. Step 5: Solve for x
    x = 110,948,918.19/12,186.34
  6. Step 6: Final answer
    x = 9,104.37

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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.