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Finding the Fourth Proportional to 7,692.57, 11,527.52 and 3,522.29

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Solution

The fourth proportional to 7,692.57, 11,527.52 and 3,522.29 is: 5,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.57 : 11,527.52 = 3,522.29 : x
  2. Step 2: Convert to fraction form
    7,692.57/11,527.52 = 3,522.29/x
  3. Step 3: Cross multiply
    7,692.57x = 11,527.52 × 3,522.29
  4. Step 4: Simplify right side
    7,692.57x = 40,603,193.17
  5. Step 5: Solve for x
    x = 40,603,193.17/7,692.57
  6. Step 6: Final answer
    x = 5,278.24

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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.