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Finding the Fourth Proportional to 9,797.27, 14,695.85 and 3,557.27

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Solution

The fourth proportional to 9,797.27, 14,695.85 and 3,557.27 is: 5,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.27 : 14,695.85 = 3,557.27 : x
  2. Step 2: Convert to fraction form
    9,797.27/14,695.85 = 3,557.27/x
  3. Step 3: Cross multiply
    9,797.27x = 14,695.85 × 3,557.27
  4. Step 4: Simplify right side
    9,797.27x = 52,277,015.06
  5. Step 5: Solve for x
    x = 52,277,015.06/9,797.27
  6. Step 6: Final answer
    x = 5,335.88

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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.