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Finding the Fourth Proportional to 25,223.94, 37,834.50 and 7,692.39

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Solution

The fourth proportional to 25,223.94, 37,834.50 and 7,692.39 is: 11,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.94 : 37,834.50 = 7,692.39 : x
  2. Step 2: Convert to fraction form
    25,223.94/37,834.50 = 7,692.39/x
  3. Step 3: Cross multiply
    25,223.94x = 37,834.50 × 7,692.39
  4. Step 4: Simplify right side
    25,223.94x = 291,037,729.46
  5. Step 5: Solve for x
    x = 291,037,729.46/25,223.94
  6. Step 6: Final answer
    x = 11,538.16

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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.