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Finding the Fourth Proportional to 6,692.84, 9,236.46 and 3,709.01

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Solution

The fourth proportional to 6,692.84, 9,236.46 and 3,709.01 is: 5,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.84 : 9,236.46 = 3,709.01 : x
  2. Step 2: Convert to fraction form
    6,692.84/9,236.46 = 3,709.01/x
  3. Step 3: Cross multiply
    6,692.84x = 9,236.46 × 3,709.01
  4. Step 4: Simplify right side
    6,692.84x = 34,258,076.32
  5. Step 5: Solve for x
    x = 34,258,076.32/6,692.84
  6. Step 6: Final answer
    x = 5,118.62

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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.