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Finding the Fourth Proportional to 6,071.05, 9,099 and 2,171.17

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Solution

The fourth proportional to 6,071.05, 9,099 and 2,171.17 is: 3,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.05 : 9,099 = 2,171.17 : x
  2. Step 2: Convert to fraction form
    6,071.05/9,099 = 2,171.17/x
  3. Step 3: Cross multiply
    6,071.05x = 9,099 × 2,171.17
  4. Step 4: Simplify right side
    6,071.05x = 19,755,475.83
  5. Step 5: Solve for x
    x = 19,755,475.83/6,071.05
  6. Step 6: Final answer
    x = 3,254.05

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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.