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Finding the Fourth Proportional to 6,338.64, 9,506.49 and 1,895.91

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Solution

The fourth proportional to 6,338.64, 9,506.49 and 1,895.91 is: 2,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.64 : 9,506.49 = 1,895.91 : x
  2. Step 2: Convert to fraction form
    6,338.64/9,506.49 = 1,895.91/x
  3. Step 3: Cross multiply
    6,338.64x = 9,506.49 × 1,895.91
  4. Step 4: Simplify right side
    6,338.64x = 18,023,449.46
  5. Step 5: Solve for x
    x = 18,023,449.46/6,338.64
  6. Step 6: Final answer
    x = 2,843.43

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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.