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Finding the Fourth Proportional to 5,913.96, 8,161.16 and 3,225.20

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Solution

The fourth proportional to 5,913.96, 8,161.16 and 3,225.20 is: 4,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.96 : 8,161.16 = 3,225.20 : x
  2. Step 2: Convert to fraction form
    5,913.96/8,161.16 = 3,225.20/x
  3. Step 3: Cross multiply
    5,913.96x = 8,161.16 × 3,225.20
  4. Step 4: Simplify right side
    5,913.96x = 26,321,316.30
  5. Step 5: Solve for x
    x = 26,321,316.30/5,913.96
  6. Step 6: Final answer
    x = 4,450.71

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.