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Finding the Fourth Proportional to 18,222.40, 27,346.40 and 7,841.60

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Solution

The fourth proportional to 18,222.40, 27,346.40 and 7,841.60 is: 11,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.40 : 27,346.40 = 7,841.60 : x
  2. Step 2: Convert to fraction form
    18,222.40/27,346.40 = 7,841.60/x
  3. Step 3: Cross multiply
    18,222.40x = 27,346.40 × 7,841.60
  4. Step 4: Simplify right side
    18,222.40x = 214,439,530.24
  5. Step 5: Solve for x
    x = 214,439,530.24/18,222.40
  6. Step 6: Final answer
    x = 11,767.91

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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.