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Finding the Fourth Proportional to 12,195.69, 16,827.76 and 7,716.30

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Solution

The fourth proportional to 12,195.69, 16,827.76 and 7,716.30 is: 10,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.69 : 16,827.76 = 7,716.30 : x
  2. Step 2: Convert to fraction form
    12,195.69/16,827.76 = 7,716.30/x
  3. Step 3: Cross multiply
    12,195.69x = 16,827.76 × 7,716.30
  4. Step 4: Simplify right side
    12,195.69x = 129,848,044.49
  5. Step 5: Solve for x
    x = 129,848,044.49/12,195.69
  6. Step 6: Final answer
    x = 10,647.04

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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.