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Finding the Fourth Proportional to 4,692.62, 6,475.32 and 2,702.80

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Solution

The fourth proportional to 4,692.62, 6,475.32 and 2,702.80 is: 3,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.62 : 6,475.32 = 2,702.80 : x
  2. Step 2: Convert to fraction form
    4,692.62/6,475.32 = 2,702.80/x
  3. Step 3: Cross multiply
    4,692.62x = 6,475.32 × 2,702.80
  4. Step 4: Simplify right side
    4,692.62x = 17,501,494.90
  5. Step 5: Solve for x
    x = 17,501,494.90/4,692.62
  6. Step 6: Final answer
    x = 3,729.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.