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Finding the Fourth Proportional to 6,641.46, 9,164.75 and 3,657.42

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Solution

The fourth proportional to 6,641.46, 9,164.75 and 3,657.42 is: 5,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.46 : 9,164.75 = 3,657.42 : x
  2. Step 2: Convert to fraction form
    6,641.46/9,164.75 = 3,657.42/x
  3. Step 3: Cross multiply
    6,641.46x = 9,164.75 × 3,657.42
  4. Step 4: Simplify right side
    6,641.46x = 33,519,321.66
  5. Step 5: Solve for x
    x = 33,519,321.66/6,641.46
  6. Step 6: Final answer
    x = 5,046.98

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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.