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Finding the Fourth Proportional to 12,262.55, 16,922.13 and 7,225.97

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Solution

The fourth proportional to 12,262.55, 16,922.13 and 7,225.97 is: 9,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.55 : 16,922.13 = 7,225.97 : x
  2. Step 2: Convert to fraction form
    12,262.55/16,922.13 = 7,225.97/x
  3. Step 3: Cross multiply
    12,262.55x = 16,922.13 × 7,225.97
  4. Step 4: Simplify right side
    12,262.55x = 122,278,803.72
  5. Step 5: Solve for x
    x = 122,278,803.72/12,262.55
  6. Step 6: Final answer
    x = 9,971.73

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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.