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Finding the Fourth Proportional to 6,652.17, 9,978.30 and 3,178.89

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Solution

The fourth proportional to 6,652.17, 9,978.30 and 3,178.89 is: 4,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.17 : 9,978.30 = 3,178.89 : x
  2. Step 2: Convert to fraction form
    6,652.17/9,978.30 = 3,178.89/x
  3. Step 3: Cross multiply
    6,652.17x = 9,978.30 × 3,178.89
  4. Step 4: Simplify right side
    6,652.17x = 31,719,918.09
  5. Step 5: Solve for x
    x = 31,719,918.09/6,652.17
  6. Step 6: Final answer
    x = 4,768.36

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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.