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Finding the Fourth Proportional to 6,714.93, 10,062.81 and 3,202.05

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Solution

The fourth proportional to 6,714.93, 10,062.81 and 3,202.05 is: 4,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.93 : 10,062.81 = 3,202.05 : x
  2. Step 2: Convert to fraction form
    6,714.93/10,062.81 = 3,202.05/x
  3. Step 3: Cross multiply
    6,714.93x = 10,062.81 × 3,202.05
  4. Step 4: Simplify right side
    6,714.93x = 32,221,620.76
  5. Step 5: Solve for x
    x = 32,221,620.76/6,714.93
  6. Step 6: Final answer
    x = 4,798.50

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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.