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Finding the Fourth Proportional to 6,652.14, 10,000.08 and 6,171

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Solution

The fourth proportional to 6,652.14, 10,000.08 and 6,171 is: 9,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.14 : 10,000.08 = 6,171 : x
  2. Step 2: Convert to fraction form
    6,652.14/10,000.08 = 6,171/x
  3. Step 3: Cross multiply
    6,652.14x = 10,000.08 × 6,171
  4. Step 4: Simplify right side
    6,652.14x = 61,710,493.68
  5. Step 5: Solve for x
    x = 61,710,493.68/6,652.14
  6. Step 6: Final answer
    x = 9,276.79

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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.