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Finding the Fourth Proportional to 6,456.59, 9,686.41 and 3,497.99

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Solution

The fourth proportional to 6,456.59, 9,686.41 and 3,497.99 is: 5,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.59 : 9,686.41 = 3,497.99 : x
  2. Step 2: Convert to fraction form
    6,456.59/9,686.41 = 3,497.99/x
  3. Step 3: Cross multiply
    6,456.59x = 9,686.41 × 3,497.99
  4. Step 4: Simplify right side
    6,456.59x = 33,882,917.98
  5. Step 5: Solve for x
    x = 33,882,917.98/6,456.59
  6. Step 6: Final answer
    x = 5,247.81

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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.