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Finding the Fourth Proportional to 22,458.40, 33,692.40 and 6,877.60

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Solution

The fourth proportional to 22,458.40, 33,692.40 and 6,877.60 is: 10,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.40 : 33,692.40 = 6,877.60 : x
  2. Step 2: Convert to fraction form
    22,458.40/33,692.40 = 6,877.60/x
  3. Step 3: Cross multiply
    22,458.40x = 33,692.40 × 6,877.60
  4. Step 4: Simplify right side
    22,458.40x = 231,722,850.24
  5. Step 5: Solve for x
    x = 231,722,850.24/22,458.40
  6. Step 6: Final answer
    x = 10,317.87

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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.