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Finding the Fourth Proportional to 8,082.10, 12,123.15 and 5,457.70

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Solution

The fourth proportional to 8,082.10, 12,123.15 and 5,457.70 is: 8,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.10 : 12,123.15 = 5,457.70 : x
  2. Step 2: Convert to fraction form
    8,082.10/12,123.15 = 5,457.70/x
  3. Step 3: Cross multiply
    8,082.10x = 12,123.15 × 5,457.70
  4. Step 4: Simplify right side
    8,082.10x = 66,164,515.76
  5. Step 5: Solve for x
    x = 66,164,515.76/8,082.10
  6. Step 6: Final answer
    x = 8,186.55

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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.