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Finding the Fourth Proportional to 12,096.46, 16,692.21 and 6,719.20

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Solution

The fourth proportional to 12,096.46, 16,692.21 and 6,719.20 is: 9,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.46 : 16,692.21 = 6,719.20 : x
  2. Step 2: Convert to fraction form
    12,096.46/16,692.21 = 6,719.20/x
  3. Step 3: Cross multiply
    12,096.46x = 16,692.21 × 6,719.20
  4. Step 4: Simplify right side
    12,096.46x = 112,158,297.43
  5. Step 5: Solve for x
    x = 112,158,297.43/12,096.46
  6. Step 6: Final answer
    x = 9,271.99

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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.