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Finding the Fourth Proportional to 7,857.94, 10,844.12 and 4,321.34

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Solution

The fourth proportional to 7,857.94, 10,844.12 and 4,321.34 is: 5,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.94 : 10,844.12 = 4,321.34 : x
  2. Step 2: Convert to fraction form
    7,857.94/10,844.12 = 4,321.34/x
  3. Step 3: Cross multiply
    7,857.94x = 10,844.12 × 4,321.34
  4. Step 4: Simplify right side
    7,857.94x = 46,861,107.91
  5. Step 5: Solve for x
    x = 46,861,107.91/7,857.94
  6. Step 6: Final answer
    x = 5,963.54

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1.5x scale

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.