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Finding the Fourth Proportional to 9,197.16, 13,797.90 and 2,623.44

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Solution

The fourth proportional to 9,197.16, 13,797.90 and 2,623.44 is: 3,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.16 : 13,797.90 = 2,623.44 : x
  2. Step 2: Convert to fraction form
    9,197.16/13,797.90 = 2,623.44/x
  3. Step 3: Cross multiply
    9,197.16x = 13,797.90 × 2,623.44
  4. Step 4: Simplify right side
    9,197.16x = 36,197,962.78
  5. Step 5: Solve for x
    x = 36,197,962.78/9,197.16
  6. Step 6: Final answer
    x = 3,935.78

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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.