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Finding the Fourth Proportional to 10,432.62, 15,651.84 and 4,197

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Solution

The fourth proportional to 10,432.62, 15,651.84 and 4,197 is: 6,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.62 : 15,651.84 = 4,197 : x
  2. Step 2: Convert to fraction form
    10,432.62/15,651.84 = 4,197/x
  3. Step 3: Cross multiply
    10,432.62x = 15,651.84 × 4,197
  4. Step 4: Simplify right side
    10,432.62x = 65,690,772.48
  5. Step 5: Solve for x
    x = 65,690,772.48/10,432.62
  6. Step 6: Final answer
    x = 6,296.67

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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.