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Finding the Fourth Proportional to 6,635.61, 9,157.16 and 3,651.66

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Solution

The fourth proportional to 6,635.61, 9,157.16 and 3,651.66 is: 5,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.61 : 9,157.16 = 3,651.66 : x
  2. Step 2: Convert to fraction form
    6,635.61/9,157.16 = 3,651.66/x
  3. Step 3: Cross multiply
    6,635.61x = 9,157.16 × 3,651.66
  4. Step 4: Simplify right side
    6,635.61x = 33,438,816.63
  5. Step 5: Solve for x
    x = 33,438,816.63/6,635.61
  6. Step 6: Final answer
    x = 5,039.30

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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.