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Finding the Fourth Proportional to 23,829.73, 35,744.86 and 7,189.91

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Solution

The fourth proportional to 23,829.73, 35,744.86 and 7,189.91 is: 10,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.73 : 35,744.86 = 7,189.91 : x
  2. Step 2: Convert to fraction form
    23,829.73/35,744.86 = 7,189.91/x
  3. Step 3: Cross multiply
    23,829.73x = 35,744.86 × 7,189.91
  4. Step 4: Simplify right side
    23,829.73x = 257,002,326.36
  5. Step 5: Solve for x
    x = 257,002,326.36/23,829.73
  6. Step 6: Final answer
    x = 10,784.94

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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.