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Finding the Fourth Proportional to 6,461.96, 9,692.92 and 4,270.20

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Solution

The fourth proportional to 6,461.96, 9,692.92 and 4,270.20 is: 6,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.96 : 9,692.92 = 4,270.20 : x
  2. Step 2: Convert to fraction form
    6,461.96/9,692.92 = 4,270.20/x
  3. Step 3: Cross multiply
    6,461.96x = 9,692.92 × 4,270.20
  4. Step 4: Simplify right side
    6,461.96x = 41,390,706.98
  5. Step 5: Solve for x
    x = 41,390,706.98/6,461.96
  6. Step 6: Final answer
    x = 6,405.29

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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.