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Finding the Fourth Proportional to 6,679.18, 9,218.54 and 4,770.17

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Solution

The fourth proportional to 6,679.18, 9,218.54 and 4,770.17 is: 6,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.18 : 9,218.54 = 4,770.17 : x
  2. Step 2: Convert to fraction form
    6,679.18/9,218.54 = 4,770.17/x
  3. Step 3: Cross multiply
    6,679.18x = 9,218.54 × 4,770.17
  4. Step 4: Simplify right side
    6,679.18x = 43,974,028.38
  5. Step 5: Solve for x
    x = 43,974,028.38/6,679.18
  6. Step 6: Final answer
    x = 6,583.75

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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.