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Finding the Fourth Proportional to 9,797.44, 14,695.96 and 2,401.94

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Solution

The fourth proportional to 9,797.44, 14,695.96 and 2,401.94 is: 3,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 14,695.96 = 2,401.94 : x
  2. Step 2: Convert to fraction form
    9,797.44/14,695.96 = 2,401.94/x
  3. Step 3: Cross multiply
    9,797.44x = 14,695.96 × 2,401.94
  4. Step 4: Simplify right side
    9,797.44x = 35,298,759.98
  5. Step 5: Solve for x
    x = 35,298,759.98/9,797.44
  6. Step 6: Final answer
    x = 3,602.86

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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.