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Finding the Fourth Proportional to 7,692.26, 11,538.23 and 2,498.13

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Solution

The fourth proportional to 7,692.26, 11,538.23 and 2,498.13 is: 3,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.26 : 11,538.23 = 2,498.13 : x
  2. Step 2: Convert to fraction form
    7,692.26/11,538.23 = 2,498.13/x
  3. Step 3: Cross multiply
    7,692.26x = 11,538.23 × 2,498.13
  4. Step 4: Simplify right side
    7,692.26x = 28,823,986.02
  5. Step 5: Solve for x
    x = 28,823,986.02/7,692.26
  6. Step 6: Final answer
    x = 3,747.14

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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.