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Finding the Fourth Proportional to 11,897.82, 17,797.43 and 9,065.22

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Solution

The fourth proportional to 11,897.82, 17,797.43 and 9,065.22 is: 13,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.82 : 17,797.43 = 9,065.22 : x
  2. Step 2: Convert to fraction form
    11,897.82/17,797.43 = 9,065.22/x
  3. Step 3: Cross multiply
    11,897.82x = 17,797.43 × 9,065.22
  4. Step 4: Simplify right side
    11,897.82x = 161,337,573.06
  5. Step 5: Solve for x
    x = 161,337,573.06/11,897.82
  6. Step 6: Final answer
    x = 13,560.26

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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.