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Finding the Fourth Proportional to 5,642.54, 8,461.13 and 1,692.27

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Solution

The fourth proportional to 5,642.54, 8,461.13 and 1,692.27 is: 2,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.54 : 8,461.13 = 1,692.27 : x
  2. Step 2: Convert to fraction form
    5,642.54/8,461.13 = 1,692.27/x
  3. Step 3: Cross multiply
    5,642.54x = 8,461.13 × 1,692.27
  4. Step 4: Simplify right side
    5,642.54x = 14,318,520.70
  5. Step 5: Solve for x
    x = 14,318,520.70/5,642.54
  6. Step 6: Final answer
    x = 2,537.60

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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.