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Finding the Fourth Proportional to 22,469, 33,703.35 and 5,828.99

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Solution

The fourth proportional to 22,469, 33,703.35 and 5,828.99 is: 8,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469 : 33,703.35 = 5,828.99 : x
  2. Step 2: Convert to fraction form
    22,469/33,703.35 = 5,828.99/x
  3. Step 3: Cross multiply
    22,469x = 33,703.35 × 5,828.99
  4. Step 4: Simplify right side
    22,469x = 196,456,490.12
  5. Step 5: Solve for x
    x = 196,456,490.12/22,469
  6. Step 6: Final answer
    x = 8,743.45

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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.