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Finding the Fourth Proportional to 6,423.52, 9,636.74 and 2,725.88

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Solution

The fourth proportional to 6,423.52, 9,636.74 and 2,725.88 is: 4,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.52 : 9,636.74 = 2,725.88 : x
  2. Step 2: Convert to fraction form
    6,423.52/9,636.74 = 2,725.88/x
  3. Step 3: Cross multiply
    6,423.52x = 9,636.74 × 2,725.88
  4. Step 4: Simplify right side
    6,423.52x = 26,268,596.83
  5. Step 5: Solve for x
    x = 26,268,596.83/6,423.52
  6. Step 6: Final answer
    x = 4,089.44

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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.