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Finding the Fourth Proportional to 25,222.80, 37,834.40 and 7,692.80

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Solution

The fourth proportional to 25,222.80, 37,834.40 and 7,692.80 is: 11,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222.80 : 37,834.40 = 7,692.80 : x
  2. Step 2: Convert to fraction form
    25,222.80/37,834.40 = 7,692.80/x
  3. Step 3: Cross multiply
    25,222.80x = 37,834.40 × 7,692.80
  4. Step 4: Simplify right side
    25,222.80x = 291,052,472.32
  5. Step 5: Solve for x
    x = 291,052,472.32/25,222.80
  6. Step 6: Final answer
    x = 11,539.26

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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.