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Finding the Fourth Proportional to 6,214.01, 9,321.14 and 2,317.64

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Solution

The fourth proportional to 6,214.01, 9,321.14 and 2,317.64 is: 3,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.01 : 9,321.14 = 2,317.64 : x
  2. Step 2: Convert to fraction form
    6,214.01/9,321.14 = 2,317.64/x
  3. Step 3: Cross multiply
    6,214.01x = 9,321.14 × 2,317.64
  4. Step 4: Simplify right side
    6,214.01x = 21,603,006.10
  5. Step 5: Solve for x
    x = 21,603,006.10/6,214.01
  6. Step 6: Final answer
    x = 3,476.50

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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.