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Finding the Fourth Proportional to 6,459.44, 8,913.72 and 3,664.88

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Solution

The fourth proportional to 6,459.44, 8,913.72 and 3,664.88 is: 5,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.44 : 8,913.72 = 3,664.88 : x
  2. Step 2: Convert to fraction form
    6,459.44/8,913.72 = 3,664.88/x
  3. Step 3: Cross multiply
    6,459.44x = 8,913.72 × 3,664.88
  4. Step 4: Simplify right side
    6,459.44x = 32,667,714.15
  5. Step 5: Solve for x
    x = 32,667,714.15/6,459.44
  6. Step 6: Final answer
    x = 5,057.36

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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.