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Finding the Fourth Proportional to 6,457.20, 9,664.20 and 5,679.60

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Solution

The fourth proportional to 6,457.20, 9,664.20 and 5,679.60 is: 8,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.20 : 9,664.20 = 5,679.60 : x
  2. Step 2: Convert to fraction form
    6,457.20/9,664.20 = 5,679.60/x
  3. Step 3: Cross multiply
    6,457.20x = 9,664.20 × 5,679.60
  4. Step 4: Simplify right side
    6,457.20x = 54,888,790.32
  5. Step 5: Solve for x
    x = 54,888,790.32/6,457.20
  6. Step 6: Final answer
    x = 8,500.40

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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.