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Finding the Fourth Proportional to 6,392.15, 9,536.89 and 5,690.49

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Solution

The fourth proportional to 6,392.15, 9,536.89 and 5,690.49 is: 8,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.15 : 9,536.89 = 5,690.49 : x
  2. Step 2: Convert to fraction form
    6,392.15/9,536.89 = 5,690.49/x
  3. Step 3: Cross multiply
    6,392.15x = 9,536.89 × 5,690.49
  4. Step 4: Simplify right side
    6,392.15x = 54,269,548.72
  5. Step 5: Solve for x
    x = 54,269,548.72/6,392.15
  6. Step 6: Final answer
    x = 8,490.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.