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Finding the Fourth Proportional to 6,334.97, 9,502.47 and 1,952.40

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Solution

The fourth proportional to 6,334.97, 9,502.47 and 1,952.40 is: 2,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.97 : 9,502.47 = 1,952.40 : x
  2. Step 2: Convert to fraction form
    6,334.97/9,502.47 = 1,952.40/x
  3. Step 3: Cross multiply
    6,334.97x = 9,502.47 × 1,952.40
  4. Step 4: Simplify right side
    6,334.97x = 18,552,622.43
  5. Step 5: Solve for x
    x = 18,552,622.43/6,334.97
  6. Step 6: Final answer
    x = 2,928.61

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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.