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Finding the Fourth Proportional to 12,794.67, 19,164.21 and 6,207

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Solution

The fourth proportional to 12,794.67, 19,164.21 and 6,207 is: 9,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.67 : 19,164.21 = 6,207 : x
  2. Step 2: Convert to fraction form
    12,794.67/19,164.21 = 6,207/x
  3. Step 3: Cross multiply
    12,794.67x = 19,164.21 × 6,207
  4. Step 4: Simplify right side
    12,794.67x = 118,952,251.47
  5. Step 5: Solve for x
    x = 118,952,251.47/12,794.67
  6. Step 6: Final answer
    x = 9,297.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.