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Finding the Fourth Proportional to 6,276.27, 9,411.04 and 2,114.90

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Solution

The fourth proportional to 6,276.27, 9,411.04 and 2,114.90 is: 3,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.27 : 9,411.04 = 2,114.90 : x
  2. Step 2: Convert to fraction form
    6,276.27/9,411.04 = 2,114.90/x
  3. Step 3: Cross multiply
    6,276.27x = 9,411.04 × 2,114.90
  4. Step 4: Simplify right side
    6,276.27x = 19,903,408.50
  5. Step 5: Solve for x
    x = 19,903,408.50/6,276.27
  6. Step 6: Final answer
    x = 3,171.22

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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.