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Finding the Fourth Proportional to 7,857.66, 10,843.83 and 4,321.02

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Solution

The fourth proportional to 7,857.66, 10,843.83 and 4,321.02 is: 5,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.66 : 10,843.83 = 4,321.02 : x
  2. Step 2: Convert to fraction form
    7,857.66/10,843.83 = 4,321.02/x
  3. Step 3: Cross multiply
    7,857.66x = 10,843.83 × 4,321.02
  4. Step 4: Simplify right side
    7,857.66x = 46,856,406.31
  5. Step 5: Solve for x
    x = 46,856,406.31/7,857.66
  6. Step 6: Final answer
    x = 5,963.15

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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.