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Finding the Fourth Proportional to 6,686.99, 9,245.67 and 5,856.61

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Solution

The fourth proportional to 6,686.99, 9,245.67 and 5,856.61 is: 8,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.99 : 9,245.67 = 5,856.61 : x
  2. Step 2: Convert to fraction form
    6,686.99/9,245.67 = 5,856.61/x
  3. Step 3: Cross multiply
    6,686.99x = 9,245.67 × 5,856.61
  4. Step 4: Simplify right side
    6,686.99x = 54,148,283.38
  5. Step 5: Solve for x
    x = 54,148,283.38/6,686.99
  6. Step 6: Final answer
    x = 8,097.56

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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.