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Finding the Fourth Proportional to 6,692.69, 9,235.97 and 3,708.56

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Solution

The fourth proportional to 6,692.69, 9,235.97 and 3,708.56 is: 5,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.69 : 9,235.97 = 3,708.56 : x
  2. Step 2: Convert to fraction form
    6,692.69/9,235.97 = 3,708.56/x
  3. Step 3: Cross multiply
    6,692.69x = 9,235.97 × 3,708.56
  4. Step 4: Simplify right side
    6,692.69x = 34,252,111.99
  5. Step 5: Solve for x
    x = 34,252,111.99/6,692.69
  6. Step 6: Final answer
    x = 5,117.84

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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.