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Finding the Fourth Proportional to 6,921.91, 10,384.45 and 3,800.42

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Solution

The fourth proportional to 6,921.91, 10,384.45 and 3,800.42 is: 5,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.91 : 10,384.45 = 3,800.42 : x
  2. Step 2: Convert to fraction form
    6,921.91/10,384.45 = 3,800.42/x
  3. Step 3: Cross multiply
    6,921.91x = 10,384.45 × 3,800.42
  4. Step 4: Simplify right side
    6,921.91x = 39,465,270.36
  5. Step 5: Solve for x
    x = 39,465,270.36/6,921.91
  6. Step 6: Final answer
    x = 5,701.50

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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.