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Finding the Fourth Proportional to 26,821.16, 40,222.61 and 9,286.88

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Solution

The fourth proportional to 26,821.16, 40,222.61 and 9,286.88 is: 13,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.16 : 40,222.61 = 9,286.88 : x
  2. Step 2: Convert to fraction form
    26,821.16/40,222.61 = 9,286.88/x
  3. Step 3: Cross multiply
    26,821.16x = 40,222.61 × 9,286.88
  4. Step 4: Simplify right side
    26,821.16x = 373,542,304.81
  5. Step 5: Solve for x
    x = 373,542,304.81/26,821.16
  6. Step 6: Final answer
    x = 13,927.15

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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.