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Finding the Fourth Proportional to 6,831, 9,423 and 4,588.92

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Solution

The fourth proportional to 6,831, 9,423 and 4,588.92 is: 6,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 9,423 = 4,588.92 : x
  2. Step 2: Convert to fraction form
    6,831/9,423 = 4,588.92/x
  3. Step 3: Cross multiply
    6,831x = 9,423 × 4,588.92
  4. Step 4: Simplify right side
    6,831x = 43,241,393.16
  5. Step 5: Solve for x
    x = 43,241,393.16/6,831
  6. Step 6: Final answer
    x = 6,330.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.