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Finding the Fourth Proportional to 23,882.70, 35,810.12 and 9,092.64

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Solution

The fourth proportional to 23,882.70, 35,810.12 and 9,092.64 is: 13,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.70 : 35,810.12 = 9,092.64 : x
  2. Step 2: Convert to fraction form
    23,882.70/35,810.12 = 9,092.64/x
  3. Step 3: Cross multiply
    23,882.70x = 35,810.12 × 9,092.64
  4. Step 4: Simplify right side
    23,882.70x = 325,608,529.52
  5. Step 5: Solve for x
    x = 325,608,529.52/23,882.70
  6. Step 6: Final answer
    x = 13,633.66

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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.