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Finding the Fourth Proportional to 12,224.70, 18,332.10 and 5,202.90

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Solution

The fourth proportional to 12,224.70, 18,332.10 and 5,202.90 is: 7,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.70 : 18,332.10 = 5,202.90 : x
  2. Step 2: Convert to fraction form
    12,224.70/18,332.10 = 5,202.90/x
  3. Step 3: Cross multiply
    12,224.70x = 18,332.10 × 5,202.90
  4. Step 4: Simplify right side
    12,224.70x = 95,380,083.09
  5. Step 5: Solve for x
    x = 95,380,083.09/12,224.70
  6. Step 6: Final answer
    x = 7,802.24

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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.