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Finding the Fourth Proportional to 6,452.58, 9,682.11 and 4,812.42

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Solution

The fourth proportional to 6,452.58, 9,682.11 and 4,812.42 is: 7,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.58 : 9,682.11 = 4,812.42 : x
  2. Step 2: Convert to fraction form
    6,452.58/9,682.11 = 4,812.42/x
  3. Step 3: Cross multiply
    6,452.58x = 9,682.11 × 4,812.42
  4. Step 4: Simplify right side
    6,452.58x = 46,594,379.81
  5. Step 5: Solve for x
    x = 46,594,379.81/6,452.58
  6. Step 6: Final answer
    x = 7,221.05

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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.