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Finding the Fourth Proportional to 6,806, 9,388.64 and 4,564.02

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Solution

The fourth proportional to 6,806, 9,388.64 and 4,564.02 is: 6,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 9,388.64 = 4,564.02 : x
  2. Step 2: Convert to fraction form
    6,806/9,388.64 = 4,564.02/x
  3. Step 3: Cross multiply
    6,806x = 9,388.64 × 4,564.02
  4. Step 4: Simplify right side
    6,806x = 42,849,940.73
  5. Step 5: Solve for x
    x = 42,849,940.73/6,806
  6. Step 6: Final answer
    x = 6,295.91

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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.