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Finding the Fourth Proportional to 11,082, 16,622.98 and 6,461.76

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Solution

The fourth proportional to 11,082, 16,622.98 and 6,461.76 is: 9,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082 : 16,622.98 = 6,461.76 : x
  2. Step 2: Convert to fraction form
    11,082/16,622.98 = 6,461.76/x
  3. Step 3: Cross multiply
    11,082x = 16,622.98 × 6,461.76
  4. Step 4: Simplify right side
    11,082x = 107,413,707.24
  5. Step 5: Solve for x
    x = 107,413,707.24/11,082
  6. Step 6: Final answer
    x = 9,692.63

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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.