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Finding the Fourth Proportional to 9,229.50, 13,799.22 and 7,858.98

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Solution

The fourth proportional to 9,229.50, 13,799.22 and 7,858.98 is: 11,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.50 : 13,799.22 = 7,858.98 : x
  2. Step 2: Convert to fraction form
    9,229.50/13,799.22 = 7,858.98/x
  3. Step 3: Cross multiply
    9,229.50x = 13,799.22 × 7,858.98
  4. Step 4: Simplify right side
    9,229.50x = 108,447,794.00
  5. Step 5: Solve for x
    x = 108,447,794.00/9,229.50
  6. Step 6: Final answer
    x = 11,750.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.