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Finding the Fourth Proportional to 12,196.22, 16,830.80 and 6,607.22

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Solution

The fourth proportional to 12,196.22, 16,830.80 and 6,607.22 is: 9,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.22 : 16,830.80 = 6,607.22 : x
  2. Step 2: Convert to fraction form
    12,196.22/16,830.80 = 6,607.22/x
  3. Step 3: Cross multiply
    12,196.22x = 16,830.80 × 6,607.22
  4. Step 4: Simplify right side
    12,196.22x = 111,204,798.38
  5. Step 5: Solve for x
    x = 111,204,798.38/12,196.22
  6. Step 6: Final answer
    x = 9,117.97

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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.