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Finding the Fourth Proportional to 6,135.64, 9,200.82 and 1,974.28

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Solution

The fourth proportional to 6,135.64, 9,200.82 and 1,974.28 is: 2,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.64 : 9,200.82 = 1,974.28 : x
  2. Step 2: Convert to fraction form
    6,135.64/9,200.82 = 1,974.28/x
  3. Step 3: Cross multiply
    6,135.64x = 9,200.82 × 1,974.28
  4. Step 4: Simplify right side
    6,135.64x = 18,164,994.91
  5. Step 5: Solve for x
    x = 18,164,994.91/6,135.64
  6. Step 6: Final answer
    x = 2,960.57

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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.