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Finding the Fourth Proportional to 6,546.86, 9,034.38 and 3,562.64

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Solution

The fourth proportional to 6,546.86, 9,034.38 and 3,562.64 is: 4,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.86 : 9,034.38 = 3,562.64 : x
  2. Step 2: Convert to fraction form
    6,546.86/9,034.38 = 3,562.64/x
  3. Step 3: Cross multiply
    6,546.86x = 9,034.38 × 3,562.64
  4. Step 4: Simplify right side
    6,546.86x = 32,186,198.39
  5. Step 5: Solve for x
    x = 32,186,198.39/6,546.86
  6. Step 6: Final answer
    x = 4,916.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.