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Finding the Fourth Proportional to 8,082.10, 12,123.15 and 6,814.90

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Solution

The fourth proportional to 8,082.10, 12,123.15 and 6,814.90 is: 10,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.10 : 12,123.15 = 6,814.90 : x
  2. Step 2: Convert to fraction form
    8,082.10/12,123.15 = 6,814.90/x
  3. Step 3: Cross multiply
    8,082.10x = 12,123.15 × 6,814.90
  4. Step 4: Simplify right side
    8,082.10x = 82,618,054.94
  5. Step 5: Solve for x
    x = 82,618,054.94/8,082.10
  6. Step 6: Final answer
    x = 10,222.35

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Half scale
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Double scale
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Similar ratio
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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.