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Finding the Fourth Proportional to 6,544.91, 9,813.64 and 4,467.43

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Solution

The fourth proportional to 6,544.91, 9,813.64 and 4,467.43 is: 6,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.91 : 9,813.64 = 4,467.43 : x
  2. Step 2: Convert to fraction form
    6,544.91/9,813.64 = 4,467.43/x
  3. Step 3: Cross multiply
    6,544.91x = 9,813.64 × 4,467.43
  4. Step 4: Simplify right side
    6,544.91x = 43,841,704.02
  5. Step 5: Solve for x
    x = 43,841,704.02/6,544.91
  6. Step 6: Final answer
    x = 6,698.60

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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.