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Finding the Fourth Proportional to 12,262.45, 16,922.02 and 7,226.88

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Solution

The fourth proportional to 12,262.45, 16,922.02 and 7,226.88 is: 9,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.45 : 16,922.02 = 7,226.88 : x
  2. Step 2: Convert to fraction form
    12,262.45/16,922.02 = 7,226.88/x
  3. Step 3: Cross multiply
    12,262.45x = 16,922.02 × 7,226.88
  4. Step 4: Simplify right side
    12,262.45x = 122,293,435.11
  5. Step 5: Solve for x
    x = 122,293,435.11/12,262.45
  6. Step 6: Final answer
    x = 9,973.00

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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.