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Finding the Fourth Proportional to 6,657.14, 9,984.65 and 2,214.43

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Solution

The fourth proportional to 6,657.14, 9,984.65 and 2,214.43 is: 3,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.14 : 9,984.65 = 2,214.43 : x
  2. Step 2: Convert to fraction form
    6,657.14/9,984.65 = 2,214.43/x
  3. Step 3: Cross multiply
    6,657.14x = 9,984.65 × 2,214.43
  4. Step 4: Simplify right side
    6,657.14x = 22,110,308.50
  5. Step 5: Solve for x
    x = 22,110,308.50/6,657.14
  6. Step 6: Final answer
    x = 3,321.29

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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.