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Finding the Fourth Proportional to 6,692.57, 9,235.74 and 3,708.59

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Solution

The fourth proportional to 6,692.57, 9,235.74 and 3,708.59 is: 5,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.57 : 9,235.74 = 3,708.59 : x
  2. Step 2: Convert to fraction form
    6,692.57/9,235.74 = 3,708.59/x
  3. Step 3: Cross multiply
    6,692.57x = 9,235.74 × 3,708.59
  4. Step 4: Simplify right side
    6,692.57x = 34,251,573.01
  5. Step 5: Solve for x
    x = 34,251,573.01/6,692.57
  6. Step 6: Final answer
    x = 5,117.85

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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.