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Finding the Fourth Proportional to 6,544.90, 9,813.62 and 4,467.41

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Solution

The fourth proportional to 6,544.90, 9,813.62 and 4,467.41 is: 6,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.90 : 9,813.62 = 4,467.41 : x
  2. Step 2: Convert to fraction form
    6,544.90/9,813.62 = 4,467.41/x
  3. Step 3: Cross multiply
    6,544.90x = 9,813.62 × 4,467.41
  4. Step 4: Simplify right side
    6,544.90x = 43,841,441.79
  5. Step 5: Solve for x
    x = 43,841,441.79/6,544.90
  6. Step 6: Final answer
    x = 6,698.57

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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.