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Finding the Fourth Proportional to 6,546.48, 9,034 and 3,562.24

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Solution

The fourth proportional to 6,546.48, 9,034 and 3,562.24 is: 4,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.48 : 9,034 = 3,562.24 : x
  2. Step 2: Convert to fraction form
    6,546.48/9,034 = 3,562.24/x
  3. Step 3: Cross multiply
    6,546.48x = 9,034 × 3,562.24
  4. Step 4: Simplify right side
    6,546.48x = 32,181,276.16
  5. Step 5: Solve for x
    x = 32,181,276.16/6,546.48
  6. Step 6: Final answer
    x = 4,915.81

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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.