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Finding the Fourth Proportional to 6,391.24, 9,582.72 and 2,496.04

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Solution

The fourth proportional to 6,391.24, 9,582.72 and 2,496.04 is: 3,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.24 : 9,582.72 = 2,496.04 : x
  2. Step 2: Convert to fraction form
    6,391.24/9,582.72 = 2,496.04/x
  3. Step 3: Cross multiply
    6,391.24x = 9,582.72 × 2,496.04
  4. Step 4: Simplify right side
    6,391.24x = 23,918,852.43
  5. Step 5: Solve for x
    x = 23,918,852.43/6,391.24
  6. Step 6: Final answer
    x = 3,742.44

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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.