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Finding the Fourth Proportional to 6,457.14, 8,911.92 and 3,664.26

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Solution

The fourth proportional to 6,457.14, 8,911.92 and 3,664.26 is: 5,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.14 : 8,911.92 = 3,664.26 : x
  2. Step 2: Convert to fraction form
    6,457.14/8,911.92 = 3,664.26/x
  3. Step 3: Cross multiply
    6,457.14x = 8,911.92 × 3,664.26
  4. Step 4: Simplify right side
    6,457.14x = 32,655,591.98
  5. Step 5: Solve for x
    x = 32,655,591.98/6,457.14
  6. Step 6: Final answer
    x = 5,057.28

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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.