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Finding the Fourth Proportional to 6,934.65, 10,402.02 and 2,660.28

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Solution

The fourth proportional to 6,934.65, 10,402.02 and 2,660.28 is: 3,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.65 : 10,402.02 = 2,660.28 : x
  2. Step 2: Convert to fraction form
    6,934.65/10,402.02 = 2,660.28/x
  3. Step 3: Cross multiply
    6,934.65x = 10,402.02 × 2,660.28
  4. Step 4: Simplify right side
    6,934.65x = 27,672,285.77
  5. Step 5: Solve for x
    x = 27,672,285.77/6,934.65
  6. Step 6: Final answer
    x = 3,990.44

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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.