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Finding the Fourth Proportional to 6,546.58, 9,034.31 and 3,562.39

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Solution

The fourth proportional to 6,546.58, 9,034.31 and 3,562.39 is: 4,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.58 : 9,034.31 = 3,562.39 : x
  2. Step 2: Convert to fraction form
    6,546.58/9,034.31 = 3,562.39/x
  3. Step 3: Cross multiply
    6,546.58x = 9,034.31 × 3,562.39
  4. Step 4: Simplify right side
    6,546.58x = 32,183,735.76
  5. Step 5: Solve for x
    x = 32,183,735.76/6,546.58
  6. Step 6: Final answer
    x = 4,916.12

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1.5x scale

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.