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Finding the Fourth Proportional to 9,806.59, 14,711.52 and 3,566.92

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Solution

The fourth proportional to 9,806.59, 14,711.52 and 3,566.92 is: 5,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.59 : 14,711.52 = 3,566.92 : x
  2. Step 2: Convert to fraction form
    9,806.59/14,711.52 = 3,566.92/x
  3. Step 3: Cross multiply
    9,806.59x = 14,711.52 × 3,566.92
  4. Step 4: Simplify right side
    9,806.59x = 52,474,814.92
  5. Step 5: Solve for x
    x = 52,474,814.92/9,806.59
  6. Step 6: Final answer
    x = 5,350.97

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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.