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Finding the Fourth Proportional to 6,516.66, 9,774 and 2,134.02

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Solution

The fourth proportional to 6,516.66, 9,774 and 2,134.02 is: 3,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.66 : 9,774 = 2,134.02 : x
  2. Step 2: Convert to fraction form
    6,516.66/9,774 = 2,134.02/x
  3. Step 3: Cross multiply
    6,516.66x = 9,774 × 2,134.02
  4. Step 4: Simplify right side
    6,516.66x = 20,857,911.48
  5. Step 5: Solve for x
    x = 20,857,911.48/6,516.66
  6. Step 6: Final answer
    x = 3,200.71

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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.