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Finding the Fourth Proportional to 6,894, 9,516.20 and 4,099.44

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Solution

The fourth proportional to 6,894, 9,516.20 and 4,099.44 is: 5,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 9,516.20 = 4,099.44 : x
  2. Step 2: Convert to fraction form
    6,894/9,516.20 = 4,099.44/x
  3. Step 3: Cross multiply
    6,894x = 9,516.20 × 4,099.44
  4. Step 4: Simplify right side
    6,894x = 39,011,090.93
  5. Step 5: Solve for x
    x = 39,011,090.93/6,894
  6. Step 6: Final answer
    x = 5,658.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.