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Finding the Fourth Proportional to 7,857.79, 10,843.91 and 4,321.33

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Solution

The fourth proportional to 7,857.79, 10,843.91 and 4,321.33 is: 5,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.79 : 10,843.91 = 4,321.33 : x
  2. Step 2: Convert to fraction form
    7,857.79/10,843.91 = 4,321.33/x
  3. Step 3: Cross multiply
    7,857.79x = 10,843.91 × 4,321.33
  4. Step 4: Simplify right side
    7,857.79x = 46,860,113.60
  5. Step 5: Solve for x
    x = 46,860,113.60/7,857.79
  6. Step 6: Final answer
    x = 5,963.52

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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.