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Finding the Fourth Proportional to 6,546.75, 9,034.53 and 3,562.59

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Solution

The fourth proportional to 6,546.75, 9,034.53 and 3,562.59 is: 4,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.75 : 9,034.53 = 3,562.59 : x
  2. Step 2: Convert to fraction form
    6,546.75/9,034.53 = 3,562.59/x
  3. Step 3: Cross multiply
    6,546.75x = 9,034.53 × 3,562.59
  4. Step 4: Simplify right side
    6,546.75x = 32,186,326.23
  5. Step 5: Solve for x
    x = 32,186,326.23/6,546.75
  6. Step 6: Final answer
    x = 4,916.38

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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.