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Finding the Fourth Proportional to 7,857.84, 10,843.80 and 4,272.78

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Solution

The fourth proportional to 7,857.84, 10,843.80 and 4,272.78 is: 5,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 10,843.80 = 4,272.78 : x
  2. Step 2: Convert to fraction form
    7,857.84/10,843.80 = 4,272.78/x
  3. Step 3: Cross multiply
    7,857.84x = 10,843.80 × 4,272.78
  4. Step 4: Simplify right side
    7,857.84x = 46,333,171.76
  5. Step 5: Solve for x
    x = 46,333,171.76/7,857.84
  6. Step 6: Final answer
    x = 5,896.43

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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.