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Finding the Fourth Proportional to 12,692.16, 17,513.97 and 7,586.66

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Solution

The fourth proportional to 12,692.16, 17,513.97 and 7,586.66 is: 10,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.16 : 17,513.97 = 7,586.66 : x
  2. Step 2: Convert to fraction form
    12,692.16/17,513.97 = 7,586.66/x
  3. Step 3: Cross multiply
    12,692.16x = 17,513.97 × 7,586.66
  4. Step 4: Simplify right side
    12,692.16x = 132,872,535.64
  5. Step 5: Solve for x
    x = 132,872,535.64/12,692.16
  6. Step 6: Final answer
    x = 10,468.87

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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.