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Finding the Fourth Proportional to 6,489.75, 8,955.88 and 3,657.16

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Solution

The fourth proportional to 6,489.75, 8,955.88 and 3,657.16 is: 5,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.75 : 8,955.88 = 3,657.16 : x
  2. Step 2: Convert to fraction form
    6,489.75/8,955.88 = 3,657.16/x
  3. Step 3: Cross multiply
    6,489.75x = 8,955.88 × 3,657.16
  4. Step 4: Simplify right side
    6,489.75x = 32,753,121.32
  5. Step 5: Solve for x
    x = 32,753,121.32/6,489.75
  6. Step 6: Final answer
    x = 5,046.90

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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.