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Finding the Fourth Proportional to 22,578.38, 33,866.26 and 6,783.06

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Solution

The fourth proportional to 22,578.38, 33,866.26 and 6,783.06 is: 10,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.38 : 33,866.26 = 6,783.06 : x
  2. Step 2: Convert to fraction form
    22,578.38/33,866.26 = 6,783.06/x
  3. Step 3: Cross multiply
    22,578.38x = 33,866.26 × 6,783.06
  4. Step 4: Simplify right side
    22,578.38x = 229,716,983.60
  5. Step 5: Solve for x
    x = 229,716,983.60/22,578.38
  6. Step 6: Final answer
    x = 10,174.20

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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.