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Finding the Fourth Proportional to 5,227.92, 7,843.10 and 1,530.21

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Solution

The fourth proportional to 5,227.92, 7,843.10 and 1,530.21 is: 2,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.92 : 7,843.10 = 1,530.21 : x
  2. Step 2: Convert to fraction form
    5,227.92/7,843.10 = 1,530.21/x
  3. Step 3: Cross multiply
    5,227.92x = 7,843.10 × 1,530.21
  4. Step 4: Simplify right side
    5,227.92x = 12,001,590.05
  5. Step 5: Solve for x
    x = 12,001,590.05/5,227.92
  6. Step 6: Final answer
    x = 2,295.67

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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.