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Finding the Fourth Proportional to 7,230.84, 10,846.68 and 2,847.12

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Solution

The fourth proportional to 7,230.84, 10,846.68 and 2,847.12 is: 4,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.84 : 10,846.68 = 2,847.12 : x
  2. Step 2: Convert to fraction form
    7,230.84/10,846.68 = 2,847.12/x
  3. Step 3: Cross multiply
    7,230.84x = 10,846.68 × 2,847.12
  4. Step 4: Simplify right side
    7,230.84x = 30,881,799.56
  5. Step 5: Solve for x
    x = 30,881,799.56/7,230.84
  6. Step 6: Final answer
    x = 4,270.85

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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.