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Finding the Fourth Proportional to 8,182.46, 11,213.11 and 7,395.14

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Solution

The fourth proportional to 8,182.46, 11,213.11 and 7,395.14 is: 10,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.46 : 11,213.11 = 7,395.14 : x
  2. Step 2: Convert to fraction form
    8,182.46/11,213.11 = 7,395.14/x
  3. Step 3: Cross multiply
    8,182.46x = 11,213.11 × 7,395.14
  4. Step 4: Simplify right side
    8,182.46x = 82,922,518.29
  5. Step 5: Solve for x
    x = 82,922,518.29/8,182.46
  6. Step 6: Final answer
    x = 10,134.18

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Half scale
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Double scale
Find fourth proportional to 8,183.46, 11,214.48 and 7,396.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.