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Finding the Fourth Proportional to 12,202.54, 16,839.66 and 7,166.83

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Solution

The fourth proportional to 12,202.54, 16,839.66 and 7,166.83 is: 9,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.54 : 16,839.66 = 7,166.83 : x
  2. Step 2: Convert to fraction form
    12,202.54/16,839.66 = 7,166.83/x
  3. Step 3: Cross multiply
    12,202.54x = 16,839.66 × 7,166.83
  4. Step 4: Simplify right side
    12,202.54x = 120,686,980.48
  5. Step 5: Solve for x
    x = 120,686,980.48/12,202.54
  6. Step 6: Final answer
    x = 9,890.32

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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.