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Finding the Fourth Proportional to 6,562.17, 9,832.29 and 2,858.85

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Solution

The fourth proportional to 6,562.17, 9,832.29 and 2,858.85 is: 4,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.17 : 9,832.29 = 2,858.85 : x
  2. Step 2: Convert to fraction form
    6,562.17/9,832.29 = 2,858.85/x
  3. Step 3: Cross multiply
    6,562.17x = 9,832.29 × 2,858.85
  4. Step 4: Simplify right side
    6,562.17x = 28,109,042.27
  5. Step 5: Solve for x
    x = 28,109,042.27/6,562.17
  6. Step 6: Final answer
    x = 4,283.50

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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.