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Finding the Fourth Proportional to 6,298.68, 8,692.26 and 3,942.24

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Solution

The fourth proportional to 6,298.68, 8,692.26 and 3,942.24 is: 5,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.68 : 8,692.26 = 3,942.24 : x
  2. Step 2: Convert to fraction form
    6,298.68/8,692.26 = 3,942.24/x
  3. Step 3: Cross multiply
    6,298.68x = 8,692.26 × 3,942.24
  4. Step 4: Simplify right side
    6,298.68x = 34,266,975.06
  5. Step 5: Solve for x
    x = 34,266,975.06/6,298.68
  6. Step 6: Final answer
    x = 5,440.34

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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.