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Finding the Fourth Proportional to 12,858.80, 17,745.36 and 7,822.22

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Solution

The fourth proportional to 12,858.80, 17,745.36 and 7,822.22 is: 10,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.80 : 17,745.36 = 7,822.22 : x
  2. Step 2: Convert to fraction form
    12,858.80/17,745.36 = 7,822.22/x
  3. Step 3: Cross multiply
    12,858.80x = 17,745.36 × 7,822.22
  4. Step 4: Simplify right side
    12,858.80x = 138,808,109.90
  5. Step 5: Solve for x
    x = 138,808,109.90/12,858.80
  6. Step 6: Final answer
    x = 10,794.79

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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.