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Finding the Fourth Proportional to 27,202.49, 40,799.02 and 7,212.11

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Solution

The fourth proportional to 27,202.49, 40,799.02 and 7,212.11 is: 10,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.49 : 40,799.02 = 7,212.11 : x
  2. Step 2: Convert to fraction form
    27,202.49/40,799.02 = 7,212.11/x
  3. Step 3: Cross multiply
    27,202.49x = 40,799.02 × 7,212.11
  4. Step 4: Simplify right side
    27,202.49x = 294,247,020.13
  5. Step 5: Solve for x
    x = 294,247,020.13/27,202.49
  6. Step 6: Final answer
    x = 10,816.91

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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.