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Finding the Fourth Proportional to 6,594.38, 9,892.38 and 3,082.58

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Solution

The fourth proportional to 6,594.38, 9,892.38 and 3,082.58 is: 4,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.38 : 9,892.38 = 3,082.58 : x
  2. Step 2: Convert to fraction form
    6,594.38/9,892.38 = 3,082.58/x
  3. Step 3: Cross multiply
    6,594.38x = 9,892.38 × 3,082.58
  4. Step 4: Simplify right side
    6,594.38x = 30,494,052.74
  5. Step 5: Solve for x
    x = 30,494,052.74/6,594.38
  6. Step 6: Final answer
    x = 4,624.25

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1.5x scale

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.