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Finding the Fourth Proportional to 6,461.68, 9,692.46 and 2,760.76

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Solution

The fourth proportional to 6,461.68, 9,692.46 and 2,760.76 is: 4,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.68 : 9,692.46 = 2,760.76 : x
  2. Step 2: Convert to fraction form
    6,461.68/9,692.46 = 2,760.76/x
  3. Step 3: Cross multiply
    6,461.68x = 9,692.46 × 2,760.76
  4. Step 4: Simplify right side
    6,461.68x = 26,758,555.87
  5. Step 5: Solve for x
    x = 26,758,555.87/6,461.68
  6. Step 6: Final answer
    x = 4,141.11

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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.