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Finding the Fourth Proportional to 5,664.82, 7,817.46 and 3,146.86

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Solution

The fourth proportional to 5,664.82, 7,817.46 and 3,146.86 is: 4,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.82 : 7,817.46 = 3,146.86 : x
  2. Step 2: Convert to fraction form
    5,664.82/7,817.46 = 3,146.86/x
  3. Step 3: Cross multiply
    5,664.82x = 7,817.46 × 3,146.86
  4. Step 4: Simplify right side
    5,664.82x = 24,600,452.18
  5. Step 5: Solve for x
    x = 24,600,452.18/5,664.82
  6. Step 6: Final answer
    x = 4,342.67

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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.