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Finding the Fourth Proportional to 6,274.98, 9,410.46 and 2,113.86

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Solution

The fourth proportional to 6,274.98, 9,410.46 and 2,113.86 is: 3,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.98 : 9,410.46 = 2,113.86 : x
  2. Step 2: Convert to fraction form
    6,274.98/9,410.46 = 2,113.86/x
  3. Step 3: Cross multiply
    6,274.98x = 9,410.46 × 2,113.86
  4. Step 4: Simplify right side
    6,274.98x = 19,892,394.98
  5. Step 5: Solve for x
    x = 19,892,394.98/6,274.98
  6. Step 6: Final answer
    x = 3,170.11

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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.