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Finding the Fourth Proportional to 6,627.42, 9,942.75 and 3,707.64

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Solution

The fourth proportional to 6,627.42, 9,942.75 and 3,707.64 is: 5,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.42 : 9,942.75 = 3,707.64 : x
  2. Step 2: Convert to fraction form
    6,627.42/9,942.75 = 3,707.64/x
  3. Step 3: Cross multiply
    6,627.42x = 9,942.75 × 3,707.64
  4. Step 4: Simplify right side
    6,627.42x = 36,864,137.61
  5. Step 5: Solve for x
    x = 36,864,137.61/6,627.42
  6. Step 6: Final answer
    x = 5,562.37

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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.