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Finding the Fourth Proportional to 11,797.68, 17,695.26 and 7,402.08

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Solution

The fourth proportional to 11,797.68, 17,695.26 and 7,402.08 is: 11,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.68 : 17,695.26 = 7,402.08 : x
  2. Step 2: Convert to fraction form
    11,797.68/17,695.26 = 7,402.08/x
  3. Step 3: Cross multiply
    11,797.68x = 17,695.26 × 7,402.08
  4. Step 4: Simplify right side
    11,797.68x = 130,981,730.14
  5. Step 5: Solve for x
    x = 130,981,730.14/11,797.68
  6. Step 6: Final answer
    x = 11,102.33

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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.