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Finding the Fourth Proportional to 22,469, 33,703.38 and 5,829.02

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Solution

The fourth proportional to 22,469, 33,703.38 and 5,829.02 is: 8,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469 : 33,703.38 = 5,829.02 : x
  2. Step 2: Convert to fraction form
    22,469/33,703.38 = 5,829.02/x
  3. Step 3: Cross multiply
    22,469x = 33,703.38 × 5,829.02
  4. Step 4: Simplify right side
    22,469x = 196,457,676.09
  5. Step 5: Solve for x
    x = 196,457,676.09/22,469
  6. Step 6: Final answer
    x = 8,743.50

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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.