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Finding the Fourth Proportional to 6,423.53, 9,636.03 and 2,473.86

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Solution

The fourth proportional to 6,423.53, 9,636.03 and 2,473.86 is: 3,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.53 : 9,636.03 = 2,473.86 : x
  2. Step 2: Convert to fraction form
    6,423.53/9,636.03 = 2,473.86/x
  3. Step 3: Cross multiply
    6,423.53x = 9,636.03 × 2,473.86
  4. Step 4: Simplify right side
    6,423.53x = 23,838,207.08
  5. Step 5: Solve for x
    x = 23,838,207.08/6,423.53
  6. Step 6: Final answer
    x = 3,711.08

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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.