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Finding the Fourth Proportional to 6,412, 9,618.12 and 1,795.12

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Solution

The fourth proportional to 6,412, 9,618.12 and 1,795.12 is: 2,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 9,618.12 = 1,795.12 : x
  2. Step 2: Convert to fraction form
    6,412/9,618.12 = 1,795.12/x
  3. Step 3: Cross multiply
    6,412x = 9,618.12 × 1,795.12
  4. Step 4: Simplify right side
    6,412x = 17,265,679.57
  5. Step 5: Solve for x
    x = 17,265,679.57/6,412
  6. Step 6: Final answer
    x = 2,692.71

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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.