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Finding the Fourth Proportional to 4,692.54, 7,040.42 and 1,771.68

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Solution

The fourth proportional to 4,692.54, 7,040.42 and 1,771.68 is: 2,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.54 : 7,040.42 = 1,771.68 : x
  2. Step 2: Convert to fraction form
    4,692.54/7,040.42 = 1,771.68/x
  3. Step 3: Cross multiply
    4,692.54x = 7,040.42 × 1,771.68
  4. Step 4: Simplify right side
    4,692.54x = 12,473,371.31
  5. Step 5: Solve for x
    x = 12,473,371.31/4,692.54
  6. Step 6: Final answer
    x = 2,658.13

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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.