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Finding the Fourth Proportional to 6,337.53, 8,742.27 and 3,684.65

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Solution

The fourth proportional to 6,337.53, 8,742.27 and 3,684.65 is: 5,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.53 : 8,742.27 = 3,684.65 : x
  2. Step 2: Convert to fraction form
    6,337.53/8,742.27 = 3,684.65/x
  3. Step 3: Cross multiply
    6,337.53x = 8,742.27 × 3,684.65
  4. Step 4: Simplify right side
    6,337.53x = 32,212,161.44
  5. Step 5: Solve for x
    x = 32,212,161.44/6,337.53
  6. Step 6: Final answer
    x = 5,082.76

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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.