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Finding the Fourth Proportional to 6,562.86, 9,844.46 and 2,120.71

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Solution

The fourth proportional to 6,562.86, 9,844.46 and 2,120.71 is: 3,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.86 : 9,844.46 = 2,120.71 : x
  2. Step 2: Convert to fraction form
    6,562.86/9,844.46 = 2,120.71/x
  3. Step 3: Cross multiply
    6,562.86x = 9,844.46 × 2,120.71
  4. Step 4: Simplify right side
    6,562.86x = 20,877,250.07
  5. Step 5: Solve for x
    x = 20,877,250.07/6,562.86
  6. Step 6: Final answer
    x = 3,181.12

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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.