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Finding the Fourth Proportional to 6,441.66, 9,659.34 and 3,323.16

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Solution

The fourth proportional to 6,441.66, 9,659.34 and 3,323.16 is: 4,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.66 : 9,659.34 = 3,323.16 : x
  2. Step 2: Convert to fraction form
    6,441.66/9,659.34 = 3,323.16/x
  3. Step 3: Cross multiply
    6,441.66x = 9,659.34 × 3,323.16
  4. Step 4: Simplify right side
    6,441.66x = 32,099,532.31
  5. Step 5: Solve for x
    x = 32,099,532.31/6,441.66
  6. Step 6: Final answer
    x = 4,983.11

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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.