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Finding the Fourth Proportional to 12,692.13, 17,514.78 and 7,027.14

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Solution

The fourth proportional to 12,692.13, 17,514.78 and 7,027.14 is: 9,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.13 : 17,514.78 = 7,027.14 : x
  2. Step 2: Convert to fraction form
    12,692.13/17,514.78 = 7,027.14/x
  3. Step 3: Cross multiply
    12,692.13x = 17,514.78 × 7,027.14
  4. Step 4: Simplify right side
    12,692.13x = 123,078,811.13
  5. Step 5: Solve for x
    x = 123,078,811.13/12,692.13
  6. Step 6: Final answer
    x = 9,697.25

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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.