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Finding the Fourth Proportional to 7,103.43, 9,797.49 and 5,214.38

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Solution

The fourth proportional to 7,103.43, 9,797.49 and 5,214.38 is: 7,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.43 : 9,797.49 = 5,214.38 : x
  2. Step 2: Convert to fraction form
    7,103.43/9,797.49 = 5,214.38/x
  3. Step 3: Cross multiply
    7,103.43x = 9,797.49 × 5,214.38
  4. Step 4: Simplify right side
    7,103.43x = 51,087,786.92
  5. Step 5: Solve for x
    x = 51,087,786.92/7,103.43
  6. Step 6: Final answer
    x = 7,191.99

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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.