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Finding the Fourth Proportional to 6,540, 9,025.20 and 3,596

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Solution

The fourth proportional to 6,540, 9,025.20 and 3,596 is: 4,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540 : 9,025.20 = 3,596 : x
  2. Step 2: Convert to fraction form
    6,540/9,025.20 = 3,596/x
  3. Step 3: Cross multiply
    6,540x = 9,025.20 × 3,596
  4. Step 4: Simplify right side
    6,540x = 32,454,619.20
  5. Step 5: Solve for x
    x = 32,454,619.20/6,540
  6. Step 6: Final answer
    x = 4,962.48

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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.