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Finding the Fourth Proportional to 12,234.58, 16,883.44 and 7,197.69

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Solution

The fourth proportional to 12,234.58, 16,883.44 and 7,197.69 is: 9,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.58 : 16,883.44 = 7,197.69 : x
  2. Step 2: Convert to fraction form
    12,234.58/16,883.44 = 7,197.69/x
  3. Step 3: Cross multiply
    12,234.58x = 16,883.44 × 7,197.69
  4. Step 4: Simplify right side
    12,234.58x = 121,521,812.57
  5. Step 5: Solve for x
    x = 121,521,812.57/12,234.58
  6. Step 6: Final answer
    x = 9,932.65

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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.