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Finding the Fourth Proportional to 22,474.49, 33,712.00 and 10,784.97

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Solution

The fourth proportional to 22,474.49, 33,712.00 and 10,784.97 is: 16,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.49 : 33,712.00 = 10,784.97 : x
  2. Step 2: Convert to fraction form
    22,474.49/33,712.00 = 10,784.97/x
  3. Step 3: Cross multiply
    22,474.49x = 33,712.00 × 10,784.97
  4. Step 4: Simplify right side
    22,474.49x = 363,582,881.68
  5. Step 5: Solve for x
    x = 363,582,881.68/22,474.49
  6. Step 6: Final answer
    x = 16,177.58

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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.